60
60

Sep 13, 2013
09/13

Sep 13, 2013
by
Gilberto M. Kremer

texts

#
eye 60

#
favorite 0

#
comment 0

A relativistic gas in a Schwarzschild metric is studied within the framework of a relativistic Boltzmann equation in the presence of gravitational fields, where Marle's model for the collision operator of the Boltzmann equation is employed. The transport coefficients of bulk and shear viscosities and thermal conductivity are determined from the Chapman-Enskog method. It is shown that the transport coefficients depend on the gravitational potential. Expressions for the transport coefficients in...

Source: http://arxiv.org/abs/1212.5573v4

61
61

Feb 27, 2013
02/13

Feb 27, 2013
by
Hitoshi Shiraishi; Toshio Hayami

texts

#
eye 61

#
favorite 0

#
comment 0

Let $\mathcal{B}$ be the class of functions $w(z)$ of the form $w(z)=\sum\limits_{k=1}^{\infty}b_k z^k$ which are analytic and satisfy the condition $|w(z)|

Source: http://arxiv.org/abs/1302.6916v1

585
585

Feb 7, 2013
02/13

Feb 7, 2013
by
Frank Ranostaj

texts

#
eye 585

#
favorite 0

#
comment 0

This thesis investigates acoustic properties of the vocal tract. Starting from a historical background (to name a few: Ibn Sina, Hooke, Kempelen, Abbe Mical, Kratzenstein, Wheatstone, Helmholtz, Riesz, Dudley, Dunn, Kelly, Lochbaum, Chiba, Kajiyama, Saito, Itakura, Burg, Gray...) finaly an improvement of the vocal tract tube model is investigated: The acoustics of vocal tract is numerical simulated in 3 dimensions with Finite Differenzes in Time Domain (FDTD) applied on an oral-cavity spatially...

Source: http://arxiv.org/abs/1302.1619v1

89
89

Jan 11, 2013
01/13

Jan 11, 2013
by
Hubert Karl; Sebstian Karl

texts

#
eye 89

#
favorite 0

#
comment 0

It is well known that a fixed point iteration for solving a linear equation system converges if and only if the spectral radius of the iteration matrix is less than one. A method is presented which guarantees the Fixed Point, even if this condition is not ("spectral radius

Source: http://arxiv.org/abs/1301.2481v1

65
65

Dec 18, 2012
12/12

Dec 18, 2012
by
Xiaolan Yu; Yinhuo Zhang

texts

#
eye 65

#
favorite 0

#
comment 0

Let $R$ be a Nichols algebra of Hecke type. In this paper, we show that if $R$ is Noetherian and of finite global dimension, then $R$ has a rigid dualizing complex. We then give a necessary and sufficient condition for $R$ to be a Calabi-Yau algebra.

Source: http://arxiv.org/abs/1212.4289v1

58
58

Dec 13, 2012
12/12

Dec 13, 2012
by
L. Borsten; M. J. Duff; S. Ferrara; A. Marrani

texts

#
eye 58

#
favorite 0

#
comment 0

Freudenthal duality (F-duality) was originally introduced as a non-polynomial anti-involution acting on the electromagnetic charges carried by extremal black hole solutions in the broad class of supergravity theories with U-duality groups of type E7. In this context F-duality is a symmetry of the Bekenstein-Hawking entropy. Here it is shown that, by adopting the doubled Lagrangian formalism, F-duality, defined on the doubled field strengths, is not only a symmetry of the black hole solutions,...

Source: http://arxiv.org/abs/1212.3254v1

63
63

Dec 6, 2012
12/12

Dec 6, 2012
by
Ivan Marin

texts

#
eye 63

#
favorite 0

#
comment 0

We refine the infinitesimal Hecke algebra associated to a 2-reflection group into a $\Z/2\Z$-graded Lie algebra, as a first step towards a global understanding of a natural $\mathbbm{N}$-graded object. We provide an interpretation of this Lie algebra in terms of the image of the braid group into the Hecke algebra, in connection with unitary structures. This connection is particularly strong when $W$ is a Coxeter group, and when in addition we can use generalizations of Drinfeld's rational even...

Source: http://arxiv.org/abs/1212.1279v1

77
77

Oct 11, 2012
10/12

Oct 11, 2012
by
Paulo Aguiar; Paulo Crawford

texts

#
eye 77

#
favorite 0

#
comment 0

In this work it is shown for some spatially homogeneous but anisotropic models how the inhomogeneities in the distribution of matter on the surface of the last scattering produce anisotropies in large angular scales (larger than $\vartheta \gtrsim 2^\circ$) which do not differ from the ones produced in Friedmann-Lema\^itre-Robertson-Walker (FLRW) geometries. That is, for these anisotropic models, the imprint left on the cosmic microwave background radiation (CMBR) by the primordial density...

Source: http://arxiv.org/abs/astro-ph/0110412v2

92
92

Oct 5, 2012
10/12

Oct 5, 2012
by
Reynier Peletier

texts

#
eye 92

#
favorite 0

#
comment 0

This is a summary of my lectures during the 2011 IAC Winter School in Puerto de la Cruz. I give an introduction to the field of stellar populations in galaxies, and highlight some new results. Since the title of the Winter School was {\it Secular Evolution of Galaxies} I mostly concentrate on nearby galaxies, which are best suited to study this theme. Of course, the understanding of stellar populations is intimately connected to understanding the formation and evolution of galaxies, one of the...

Source: http://arxiv.org/abs/1210.2127v1

87
87

Sep 28, 2012
09/12

Sep 28, 2012
by
Patrizia Berti; Irene Crimaldi; Luca Pratelli; Pietro Rigo

texts

#
eye 87

#
favorite 0

#
comment 0

Let (X_n) be a sequence of random variables (with values in a separable metric space) and (N_n) a sequence of random indices. Conditions for X_{N_n} to converge stably (in particular, in distribution) are provided. Some examples, where such conditions work but those already existing fail, are given as well. Key words and phrases: Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence

Source: http://arxiv.org/abs/1209.6473v1

51
51

Sep 27, 2012
09/12

Sep 27, 2012
by
Houssein El Turkey; Jonathan R. Kujawa

texts

#
eye 51

#
favorite 0

#
comment 0

We provide a presentation of the Schur superalgebra and its quantum analogue which generalizes the work of Doty and Giaquinto for Schur algebras. Our results include a basis for these algebras and a presentation using weight idempotents in the spirit of Lusztig's modified quantum groups.

Source: http://arxiv.org/abs/1209.6327v1

125
125

Sep 16, 2012
09/12

Sep 16, 2012
by
Andrew Adamatzky; Theresa Schubert

texts

#
eye 125

#
favorite 0

#
comment 0

The German motorway, or 'autobahn', is characterised by long traditions, meticulous state planning, historical misbalance between West and East Germany's transport networks, and highest increase in traffic in modern Europe, posing a need for expansion and/or restructuring. We attempt to evaluate the structure of autobahns using principles of intrinsic optimality of biological networks in experiments with slime mould of Physarum polycephalum. In laboratory experiments with living slime mould we...

Source: http://arxiv.org/abs/1209.3474v1

73
73

Jul 27, 2012
07/12

Jul 27, 2012
by
Norbert Krämer

texts

#
eye 73

#
favorite 0

#
comment 0

Let F be a rational quaternion algebra, and let k be an imaginary quadratic splitting field of F. If one extends F to a 2x2 matrix algebra over k, then every maximal order of F can be embedded into a maximal order of this extension. We show that all embedding maximal orders are isomorphic to each another, and that and how their isomorphism type (in relation to the 2x2 matrix algebra over the maximal order of k) depends only on the ramification behavior of F (theorem 6.2). This enables us to...

Source: http://arxiv.org/abs/1207.6460v1

147
147

Jul 25, 2012
07/12

Jul 25, 2012
by
Martin Chuaqui

texts

#
eye 147

#
favorite 0

#
comment 0

Let $f$ be a Schwarz-Christoffel mapping of the disk $\D$ onto a polygon. In this paper, we prove that in the formula $f"/f'=(B_1/B_2)/(1-zB_1/B_2)$ obtained recently in [3], the degrees $d_1, d_2$ of the finite Blaschke products $B_1, B_2$ are equal, respectively, to the number of convex vertices minus 1, and the number of concave vertices. A similar result is obtained for the corresponding representation formula for mappings onto the exterior of polygons.

Source: http://arxiv.org/abs/1207.6143v1

83
83

Jul 16, 2012
07/12

Jul 16, 2012
by
Rachel Ollivier; Peter Schneider

texts

#
eye 83

#
favorite 0

#
comment 0

Let F be a locally compact nonarchimedean field with residue characteristic p and G the group of F-rational points of a connected split reductive group over F. For k an arbitrary field, we study the homological properties of the Iwahori-Hecke k-algebra H' and of the pro-p Iwahori-Hecke k-algebra H of G. We prove that both of these algebras are Gorenstein rings with self-injective dimension bounded above by the rank of G. If G is semisimple, we also show that this upper bound is sharp, that both...

Source: http://arxiv.org/abs/1207.3769v1

90
90

Jul 3, 2012
07/12

Jul 3, 2012
by
L. G. C. Gentile; P. A. Grassi; A. Mezzalira

texts

#
eye 90

#
favorite 0

#
comment 0

We provide the metric, the gravitino fields and the gauge fields to all orders in the fermionic zero modes for D=5 and D=4, N=2 gauged supergravity solutions starting from non-extremal AdS--Schwarzschild black holes. We compute the Brown-York stress--energy tensor on the boundary of AdS_5 / AdS_4 spaces and we discuss some implications of the fermionic corrections to perfect fluid interpretation of the boundary theory. The complete non-linear solution, which we denote as fermionic wig, is...

Source: http://arxiv.org/abs/1207.0686v1

60
60

May 10, 2012
05/12

May 10, 2012
by
Morteza Rahmani; Mohammad H. Faroughi

texts

#
eye 60

#
favorite 0

#
comment 0

In this paper we introduce the concept of Bochner pg-frames for Banach spaces. We characterize the Bochner pg-frames and specify the optimal bounds of a Bochner pg- frames. Then we define a Bochner qg-Riesz basis and verify the relations between Bochner pg-frames and Bochner qg-Riesz bases. Finally, we discuss the perturbation of Bochner pg-frames.

Source: http://arxiv.org/abs/1205.2323v1

59
59

Apr 25, 2012
04/12

Apr 25, 2012
by
Dov Gabbay; Karl Schlechta

texts

#
eye 59

#
favorite 0

#
comment 0

We investigate several technical and conceptual questions. Our main subject is the investigation of independence as a ternary relation in the context of non-monotonic logic. In the context of probability, this investigation was started by W.Spohn et al., and then followed by J.Pearl. We look at products of function sets, and thus continue our own investigation of independence in non-monotonic logic. We show that a finite characterization of this relation in our context is impossible, and...

Source: http://arxiv.org/abs/1108.3033v6

89
89

Mar 29, 2012
03/12

Mar 29, 2012
by
F. W. Bessel; Charles F. F. Karney; Rodney E. Deakin

texts

#
eye 89

#
favorite 0

#
comment 0

The solution of the geodesic problem for an oblate ellipsoid is developed in terms of series. Tables are provided to simplify the computation. [This is a transcription of F. W. Bessel, Astronomische Nachrichten 4(86), 241-254 (1825). The text follows the original; however the mathematical notation has been updated to conform to current conventions. Several errors have been corrected and the tables have been recomputed.]

Source: http://arxiv.org/abs/0908.1823v3

100
100

Jan 11, 2012
01/12

Jan 11, 2012
by
Paweł Duch; Ryszard Paweł Kostecki

texts

#
eye 100

#
favorite 0

#
comment 0

Using new approach to construction of space-times emerging from quantum information theory, we identify the space of quantum states that generates the Schwarzschild space-time. No quantisation procedure is used. The emergent space-time is obtained by the Poincar\'{e}-Wick rotation and Fronsdal embedding of certain submanifold of the riemanian manifold of six-dimensional strictly positive matrices with the Bogolyubov-Kubo-Mori metric.

Source: http://arxiv.org/abs/1110.6566v3

Topics: Suites, For piano, Scores featuring the piano, For 1 player

Source: http://imslp.org/wiki/Suite_zur_Aufwertung_des_Scheiterns,_Op.34_(Seidler,_Markus)

87
87

Dec 29, 2011
12/11

Dec 29, 2011
by
Jochen Schmid

texts

#
eye 87

#
favorite 0

#
comment 0

In this work we generalize some of the previously known adiabatic theorems to situations with non-unitary evolutions in Banach spaces. We prove adiabatic theorems with uniform gap condition (generalizing a theorem of Abou Salem), adiabatic theorems with non-uniform gap condition (generalizing a theorem of Kato) and qualitative as well as quantitative adiabatic theorems without gap condition (generalizing theorems of Avron and Elgart, and Teufel). Additionally, we give a generalized version of...

Source: http://arxiv.org/abs/1112.6338v1

179
179

Nov 22, 2011
11/11

Nov 22, 2011
by
Deepak Naidu; Sarah Witherspoon

texts

#
eye 179

#
favorite 0

#
comment 0

Quantum Drinfeld Hecke algebras are generalizations of Drinfeld Hecke algebras in which polynomial rings are replaced by quantum polynomial rings. We identify these algebras as deformations of skew group algebras, giving an explicit connection to Hochschild cohomology. We compute the relevant part of Hochschild cohomology for actions of many reflection groups and we exploit computations from our paper with Shroff for diagonal actions. By combining our work with recent results of Levandovskyy...

Source: http://arxiv.org/abs/1111.5243v1

61
61

Nov 18, 2011
11/11

Nov 18, 2011
by
O. Mendoza; E. C. Saenz; V. Santiago; M. J. Souto Salorio

texts

#
eye 61

#
favorite 0

#
comment 0

We show that the relative Auslander-Buchweitz context on a triangulated category $\T$ coincides with the notion of co-$t$-structure on certain triangulated subcategory of $\T$ (see Theorem \ref{M2}). In the Krull-Schmidt case, we stablish a bijective correspondence between co-$t$-structures and cosuspended, precovering subcategories (see Theorem \ref{correspond}). We also give a characterization of bounded co-$t$-structures in terms of relative homological algebra. The relationship between...

Source: http://arxiv.org/abs/1002.4604v3

126
126

Oct 10, 2011
10/11

Oct 10, 2011
by
Abid H. Mujtaba

texts

#
eye 126

#
favorite 0

#
comment 0

It is known that every compact simple Lie group admits a bi-invariant homogeneous Einstein metric. In this paper we use two ansatz to probe the existence of additional inequivalent Einstein metrics on the Lie group SU (n) for arbitrary n. We provide an explicit construction of (2k+1) inequivalent Einstein metrics on SU (2k) and 2k inequivalent Einstein metrics on SU (2k + 1).

Source: http://arxiv.org/abs/1110.1978v1

137
137

Aug 23, 2011
08/11

Aug 23, 2011
by
Sabine Lechner

texts

#
eye 137

#
favorite 0

#
comment 0

Resultate der Charaktertheorie der symmetrischen Gruppe werden verwendet, um eine Verteilungsfunktion f\"ur das Geschlecht zuf\"allig gew\"ahlter Origamis zu erhalten. -- Results from the character theory of the symmetric group are used to obtain the distribution function of the genus of random origamis.)

Source: http://arxiv.org/abs/1108.3666v2

304
304

Jun 14, 2011
06/11

Jun 14, 2011
by
Gunther Caspar

texts

#
eye 304

#
favorite 0

#
comment 0

This master thesis discusses the Reissner-Nordstr\"om metric and the dirac equation in curved spaces in the pseudo-complex General Relativity (pc-GR) and reviews the original ansatz of pc-GR. It is written in German.

Source: http://arxiv.org/abs/1106.2653v1

141
141

Jun 7, 2011
06/11

Jun 7, 2011
by
Thomas Schönenbach

texts

#
eye 141

#
favorite 0

#
comment 0

This is a master thesis concerning the search for a Kerr-type metric in the pseudocomplex General Relativity. Two different ways of deriving the standard Kerr-metric are presented and a solution for a Kerr-type metric in the pseudocomplex formalism is found.

Source: http://arxiv.org/abs/1106.1316v1

71
71

May 4, 2011
05/11

May 4, 2011
by
Marta Casanellas; Robin Hartshorne

texts

#
eye 71

#
favorite 0

#
comment 0

The existence of stable ACM vector bundles of high rank on algebraic varieties is a challenging problem. In this paper, we study stable Ulrich bundles (that is, stable ACM bundles whose corresponding module has the maximum number of generators) on nonsingular cubic surfaces $X \subset \mathbb{P}^3.$ We give necessary and sufficient conditions on the first Chern class $D$ for the existence of stable Ulrich bundles on $X$ of rank $r$ and $c_1=D$. When such bundles exist, we prove that that the...

Source: http://arxiv.org/abs/1102.0878v3

61
61

Mar 29, 2011
03/11

Mar 29, 2011
by
Craig Citro; Alexandru Ghitza

texts

#
eye 61

#
favorite 0

#
comment 0

We describe an algorithm for enumerating the set of level 1 systems of Hecke eigenvalues arising from modular forms (mod p).

Source: http://arxiv.org/abs/1102.3321v2

77
77

Dec 8, 2010
12/10

Dec 8, 2010
by
Toru Ohmoto

texts

#
eye 77

#
favorite 0

#
comment 0

This is a note on MacPherson's Chern class for algebraic stacks, based on a previous paper of the author [arXiv:math/0407348]. We also discuss other additive characteristic classes in the same manner.

Source: http://arxiv.org/abs/1004.0011v2

83
83

Dec 6, 2010
12/10

Dec 6, 2010
by
C. A. Serino; K. F. Tiampo; W. Klein

texts

#
eye 83

#
favorite 0

#
comment 0

We introduce a new model for an earthquake fault system that is composed of non-interacting simple lattice models with different levels of damage denoted by $q$. The undamaged lattice models ($q=0$) have Gutenberg-Richter scaling with a cumulative exponent $\beta=1/2$, whereas the damaged models do not have well defined scaling. However, if we consider the "fault system" consisting of all models, damaged and undamaged, we get excellent scaling with the exponent depending on the...

Source: http://arxiv.org/abs/1012.1260v1

249
249

Oct 11, 2010
10/10

Oct 11, 2010
by
Maximilian Hanusch

texts

#
eye 249

#
favorite 0

#
comment 0

This is my diploma thesis in german language. In the context of formal deformation theorie of assoziative observables in classical field theory I consider the symmetric algebra S(V) on an arbitrary-dimensional R- or C-vectorspace V as a prototype of comprehensive observables algebras in quantum field theory. In this framework I calculate the Hochschild cohomologies of S(V) with values in S(V)-S(V)-bimodules M. In the case that V is a locally convex vectorspace I compute the continuous...

Source: http://arxiv.org/abs/1009.4365v2

62
62

Oct 4, 2010
10/10

Oct 4, 2010
by
Thomas Scanlon

texts

#
eye 62

#
favorite 0

#
comment 0

Using the theory of o-minimality we show that the $p$-adic method of Skolem-Mahler-Lech-Chabauty may be adapted to prove instances of the dynamical Mordell-Lang conjecture for some real analytic dynamical systems. For example, we show that if $f_1,...,f_n$ is a finite sequence of real analytic functions $f_i:(-1,1) \to (-1,1)$ for which $f_i(0) = 0$ and $|f_i'(0)| \leq 1$ (possibly zero), $a = (a_1,...,a_n)$ is an $n$-tuple of real numbers close enough to the origin and $H(x_1,...,x_n)$ is a...

Source: http://arxiv.org/abs/1010.0482v1

170
170

Jul 2, 2010
07/10

Jul 2, 2010
by
Owen Pavel Fernández Piedra

texts

#
eye 170

#
favorite 0

#
comment 0

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first stage, we observe the damped oscillations characteristic of the quasinormal ringing stage, followed by long time tails. Using the sixth order WKB method and Prony fitting of time domain data we determine the quasinormal frequencies. There is a good correspondence...

Source: http://arxiv.org/abs/1006.3327v2

142
142

Jun 23, 2010
06/10

Jun 23, 2010
by
F. M. Paiva; A. F. F. Teixeira

texts

#
eye 142

#
favorite 0

#
comment 0

Geodesic of simultaneity is a spacelike geodesic in which every pair of neighbour events are simultaneous ($g_{0\mu}\dd x^\mu=0$). These geodesics are studied in the exterior region of \Sch's metric.

Source: http://arxiv.org/abs/1006.4654v1

118
118

Mar 16, 2010
03/10

Mar 16, 2010
by
J. Ponce de Leon

texts

#
eye 118

#
favorite 0

#
comment 0

In this work we examine the effective four-dimensional world that emanates from a general class of static spherical Ricci-flat solutions in Kaluza-Klein gravity in $D$-dimensions. By means of dimensional reduction we obtain a family of asymptotically flat Schwarzschild-like metrics for which all the components of the Ricci tensor, except for $R_{11}$, are zero. Although the reduced spacetime is not empty, it is similar to vacuum in the sense that the effective matter satisfies an equation of...

Source: http://arxiv.org/abs/1003.3151v1

103
103

Feb 10, 2010
02/10

Feb 10, 2010
by
Kazuki Sasaki; Naoya Suzuki; Hiroki Saito

texts

#
eye 103

#
favorite 0

#
comment 0

Vortex shedding from an obstacle potential moving in a Bose-Einstein condensate is investigated. Long-lived alternately aligned vortex pairs are found to form in the wake, as for the von K\'arm\'an vortex street in classical viscous fluids. Various patterns of vortex shedding are systematically studied and the drag force on the obstacle is calculated. It is shown that the phenomenon can be observed in a trapped system.

Source: http://arxiv.org/abs/1002.2058v1

92
92

Feb 7, 2010
02/10

Feb 7, 2010
by
Denise Nakiboglu

texts

#
eye 92

#
favorite 0

#
comment 0

Looking at the cartesian product of a topological space with itself, a natural map to be considered on that object is the involution that interchanges the coordinates, i.e. that maps (x,y) to (y,x). The so-called halfsquaring construction, now also called "symmetric squaring construction", in Cech homology with Z/2-coefficients was introduced in [arXiv:0709.1774] as a map from the k-th Cech homology group of a space X to the 2k-th Cech homology group of X \times X divided by the above...

Source: http://arxiv.org/abs/1002.1449v1

87
87

Jan 15, 2010
01/10

Jan 15, 2010
by
Raphaël Errani

texts

#
eye 87

#
favorite 0

#
comment 0

Both the distribution of hydrogen and the rotation curve of the Milky Way indicate the existence of a ring of Cold Dark Matter in the galactic plane with a radius of 14 kiloparsecs around the galactic centre. Using a semianalytical model, the formation of such a structure by the accretion of dwarf galaxies is simulated. The formation of the ring can be explained by the infall of a single dwarf galaxy, as well as by the infall of several dwarf galaxies under the condition that the eccentricity...

Source: http://arxiv.org/abs/0810.5300v3

Topics: Secular cantatas, Cantatas, For narrator, clarinet, pan flute, percussion, violin, double bass,...

Source: http://imslp.org/wiki/Seefelder_Geschichten_am_Klangbaum_(Hoffmann,_Norbert_Rudolf)

Topics: Pieces, For narrator, unspecified instruments, Scores featuring the voice, Scores featuring a...

Source: http://imslp.org/wiki/Lieber_in_der_alten_Tiefe_liegen_(Hirsch,_Cornelius)

Topics: Pieces, For saxophone, percussion, Scores featuring the saxophone, Scores featuring percussion...

Source: http://imslp.org/wiki/Der_Aufschwung_ist_da._(Stark,_Christian)

118
118

Dec 7, 2009
12/09

Dec 7, 2009
by
F. M. Paiva; A. F. F. Teixeira

texts

#
eye 118

#
favorite 0

#
comment 0

Motion of bodies and light rays are studied in the gravitational field of Schwarzschild. Several Doppler effects are described. ----- Movado de korpoj kaj lumo estas studitaj en gravita kampo de Schwarzschild. Pluraj Doppleraj efikoj estas priskribitaj.

Source: http://arxiv.org/abs/0912.1229v1

74
74

Sep 7, 2009
09/09

Sep 7, 2009
by
W. Woelfli

texts

#
eye 74

#
favorite 0

#
comment 0

The Exodus was causally connected to the eruption of Thera. The time of this geological event is determined by C14 dating as 1627-1600 BC. The chaos that followed this catastrophe led to upheavals which distorted the chronologies. Taking periods of foreign domination into account leads to an agreement between the chronologies of Egypt and Israel. ----- Der Exodus wurde durch den Ausbruch von Thera ermoeglicht, welcher als geologisches Ereignis durch C14 Datierungen auf die Zeit 1627-1600 BC...

Source: http://arxiv.org/abs/0909.1473v1

63
63

Aug 17, 2009
08/09

Aug 17, 2009
by
Gérard H. E. Duchamp; Christophe Tollu

texts

#
eye 63

#
favorite 0

#
comment 0

We describe the problem of Sweedler's duals for bialgebras as essentially characterizing the domain of the transpose of the multiplication. This domain is the set of what could be called ``representative linear forms'' which are the elements of the algebraic dual which are also representative on the multiplicative semigroup of the algebra. When the algebra is free, this notion is indeed equivalent to that of rational functions of automata theory. For the sake of applications, the range of...

Source: http://arxiv.org/abs/0712.0125v3

82
82

Apr 17, 2009
04/09

Apr 17, 2009
by
Victor Tourtchine

texts

#
eye 82

#
favorite 0

#
comment 0

We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra.

Source: http://arxiv.org/abs/math/0504017v3

52
52

Apr 11, 2009
04/09

Apr 11, 2009
by
Xuhua He

texts

#
eye 52

#
favorite 0

#
comment 0

Let $(W, I)$ be a finite Coxeter group. In the case where $W$ is a Weyl group, Berenstein and Kazhdan in \cite{BK} constructed a monoid structure on the set of all subsets of $I$ using unipotent $\chi$-linear bicrystals. In this paper, we will generalize this result to all types of finite Coxeter groups (including non-crystallographic types). Our approach is more elementary, based on some combinatorics of Coxeter groups. Moreover, we will calculate this monoid structure explicitly for each type.

Source: http://arxiv.org/abs/0904.1786v1

88
88

Apr 7, 2009
04/09

Apr 7, 2009
by
Andreas Johann Raab

texts

#
eye 88

#
favorite 0

#
comment 0

In the first part of our generalized ergodic theory we introduced Cantor-systems, when we managed to prove the generalized ergodic theorem 3.3. The first component of a Cantor-system is a group of the flow and its second component is a set of sets covering the phase-space. Now we continue and we first come across the resistence of the term of metric sensitivity against further generalization. Finding a way of generalization of sensitivity, we understand, that generalized chaos can come out of...

Source: http://arxiv.org/abs/0904.1211v1

134
134

Apr 7, 2009
04/09

Apr 7, 2009
by
Andreas Johann Raab

texts

#
eye 134

#
favorite 0

#
comment 0

If and only if each point of a set of the phase-space is in the topological hull of a trajectory running through any other point of this set, we call this set a quasiergodic set. But which are these so defined quasiergodic sets in the case of a given continuous dynamical system, which has piecewise differentiable trajectories in a finit-dimensional real phase-space, which is compact? Let its trajectories define a field of normed tangents, which is continuous in almost each point of the...

Source: http://arxiv.org/abs/0810.5099v8

174
174

Apr 7, 2009
04/09

Apr 7, 2009
by
Andreas Johann Raab

texts

#
eye 174

#
favorite 0

#
comment 0

Our conception of a generalized ergodic theory shall exceed the generality of general topology: In this first part of the generalized ergodic theory we investigate the logical constitution of the conception of attractors. We prepare a general theory of sensitivity of flows, which we intend to present in the second part of the generalized ergodic theory. As a result of this first part take the theorem 3.3 and the theorem 3.8: We show a very general ergodic theorem, however it concerns insensitve...

Source: http://arxiv.org/abs/0902.2818v4

61
61

Mar 5, 2009
03/09

Mar 5, 2009
by
Ding Wang; R. B. Zhang; Xiao Zhang

texts

#
eye 61

#
favorite 0

#
comment 0

A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $\Lambda$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The metrics and curvatures of the quantum Schwarzschild spacetime and the quantum Schwarzschild-de Sitter spacetime are computed. It is shown that up to the second order in the deformation parameter, the quantum spacetimes are solutions of a noncommutative Einstein...

Source: http://arxiv.org/abs/0809.0614v2

135
135

Feb 17, 2009
02/09

Feb 17, 2009
by
Ruediger Lunde; Claus-Peter Wirth

texts

#
eye 135

#
favorite 0

#
comment 0

Maintaining the main aspects of the algebraic specification language ASF as presented in [Bergstra&al.89] we have extend ASF with the following concepts: While once exported names in ASF must stay visible up to the top the module hierarchy, ASF+ permits a more sophisticated hiding of signature names. The erroneous merging of distinct structures that occurs when importing different actualizations of the same parameterized module in ASF is avoided in ASF+ by a more adequate form of parameter...

Source: http://arxiv.org/abs/0902.2995v1

89
89

Jan 19, 2009
01/09

Jan 19, 2009
by
Heinz Siedentop

texts

#
eye 89

#
favorite 0

#
comment 0

The ground state energy of the Mueller functional of large (neutral) atoms of atomic number Z agrees with the quantum mechanical ground state energy up to order o(Z to the 5/3). ----- Die Grundzustandsenergie des Muellerfunktionals von grossen (neutralen) Atomen der Ordnungszahl Z stimmt mit der quantenmechanischen Grundzustandsenergie bis zur Ordnung o(Z hoch 5/3) ueberein.

Source: http://arxiv.org/abs/0811.2453v2

54
54

Jan 16, 2009
01/09

Jan 16, 2009
by
Alexander Schmidt

texts

#
eye 54

#
favorite 0

#
comment 0

Let k be a global field, p an odd prime number different from char(k) and S, T disjoint, finite sets of primes of k. Let G_S^T(k)(p)=Gal(k_S^T(p)|k) be the Galois group of the maximal p-extension of k which is unramified outside S and completely split at T. We prove the existence of a finite set of primes S_0, which can be chosen disjoint from any given set M of Dirichlet density zero, such that the cohomology of G_{S\cup S_0}^T(k)(p) coincides with the etale cohomology of the associated marked...

Source: http://arxiv.org/abs/0806.0772v3

67
67

Jan 15, 2009
01/09

Jan 15, 2009
by
Alexander Zuevsky

texts

#
eye 67

#
favorite 0

#
comment 0

Using the second Drinfeld formulation of the quantized universal enveloping algebra $U_q(\widehat{sl_2})$ we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a Heisenberg subalgebra. Explicit expressions for new family of generators are found.

Source: http://arxiv.org/abs/0901.2335v1

105
105

Jan 10, 2009
01/09

Jan 10, 2009
by
Dr. Johannes Härtel

texts

#
eye 105

#
favorite 0

#
comment 0

F\"ur die freien orthogonalen Quantengruppen $A_o(n)$ wird ein vollst\"a ndiges Reduktionssystem angegeben und verifiziert. F\"ur den Fall $n = 2$ wird ein endlicher Automat angegeben, der s\"amtliche der Basiselemente findet. Weiterhin wird eine Basis f\"ur die f\"ur die Kerne einer freien Aufl\"osung von $A_o(n)$ als Bimodul bewiesen. Abschlie{\ss}end wird mit der nun verifizierten Aufl\"osung die Homologie von $A_o(n)$ explizit berechnet.

Source: http://arxiv.org/abs/0901.1391v1

Source: http://imslp.org/wiki/Orgelvorspiel_zum_Kanon_'Ich_will_den_Herrn_loben'_(Denninger,_Patrick)

Topics: Pieces, For violin, 3 violas, 3 cellos, Scores featuring the violin, Scores featuring the viola,...

Source: http://imslp.org/wiki/Tor_zur_Ewigkeit_–_Zweites_Buch:_Lichtgesang_(Beischer-Matyó,_Tamás)

Topics: Lieder, Songs, For voice, piano, For voices with keyboard, Scores featuring the voice, Scores...

Source: http://imslp.org/wiki/4_Lieder_nach_Texten_von_Hugo_von_Hofmannsthal,_Op.27_(Fries,_Albin)

82
82

Nov 1, 2008
11/08

Nov 1, 2008
by
Alessandro Ardizzoni; Gabriella Böhm; Claudia Menini

texts

#
eye 82

#
favorite 0

#
comment 0

Comodule algebras of a Hopf algebroid H with a bijective antipode, i.e. algebra extensions B\subseteq A by H, are studied. Assuming that a lifted canonical map is a split epimorphism of modules of the non-commutative base algebra of H, relative injectivity of the H-comodule algebra A is related to the Galois property of the extension B\subseteq A and also to the equivalence of the category of relative Hopf modules to the category of B-modules. This extends a classical theorem by H.-J. Schneider...

Source: http://arxiv.org/abs/math/0612633v2

126
126

Aug 28, 2008
08/08

Aug 28, 2008
by
Burchard Kaup; Hans-Jörg Reiffen

texts

#
eye 126

#
favorite 0

#
comment 0

The leaves in singular holomorphic foliation theory are examples of quasi-analytic layers. In the first part of our publication we are concerned with a theory of these subjects. A quasi-analytic decomposition of a complex manifold is a decomposition into pairwise disjoint connected quasi-analytic layers. These are holomorphic foliations in the sense of P. Stefan and K. Spallek. A very different but more usual conception of holomorphic foliations is develloped by P. Baum and R. Bott. It is based...

Source: http://arxiv.org/abs/0808.3893v1

83
83

Jul 5, 2008
07/08

Jul 5, 2008
by
James Alsup; George Siopsis

texts

#
eye 83

#
favorite 0

#
comment 0

We consider a large black hole in asymptotically AdS spacetime of arbitrary dimension with a Minkowski boundary. By performing an appropriate slicing as we approach the boundary, we obtain via holographic renormalization a gauge theory fluid obeying Bjorken hydrodynamics in the limit of large longitudinal proper time. The metric we obtain reproduces to leading order the metric recently found as a direct solution of the Einstein equations in five dimensions. Our results are also in agreement...

Source: http://arxiv.org/abs/0712.2164v2

63
63

Jun 25, 2008
06/08

Jun 25, 2008
by
Wolfgang Soergel

texts

#
eye 63

#
favorite 0

#
comment 0

This is an attempt to model ambient space as a three-dimensional real affine space with a distinguished group of automorphisms containing the translations and acting freely and transitively on pairs consisting of a half-plane together with a half-line on its boundary. From there the existence of an invariant scalar product is deduced, which then also implies Pythagoras theorem in a quite precise form. This is in contrast to the usual procedure to model ambient space by asking for a...

Source: http://arxiv.org/abs/0806.4052v1

137
137

Jun 5, 2008
06/08

Jun 5, 2008
by
Emil Weyr

texts

#
eye 137

#
favorite 0

#
comment 0

Lecture given before the Royal Academy Vienna that summarizes the state of knowledge about the mathematics of the ancient Egyptians, up to 1884. Contains all relevant references to classical Greek texts, and the 'latest' archeology results. Later published as booklet. A list with completed bibliographic references is appended. ----- Vortrag vor der k.u.k. Akademie der Wissenschaften in Wien, 1884, ueber den damaligen Wissensstand zur Mathematik der Aegypter, mit Referenzen zu den klassischen...

Source: http://arxiv.org/abs/0806.1000v1

158
158

May 7, 2008
05/08

May 7, 2008
by
Bernd Jantzen

texts

#
eye 158

#
favorite 0

#
comment 0

Experiments at the future colliders LHC and ILC will, for the first time, explore electroweak reactions at energies in the TeV region, i.e. far beyond the masses of the W and Z bosons. In exclusive processes without the emission of massive gauge bosons double-logarithmic contributions, so-called Sudakov logarithms, will then become relevant. Precise theoretical predictions require the knowledge of the complete logarithmic two-loop corrections in the high energy limit, thus exceeding the...

Source: http://arxiv.org/abs/hep-ph/0612197v2

84
84

Apr 28, 2008
04/08

Apr 28, 2008
by
Frédéric Butin

texts

#
eye 84

#
favorite 1

#
comment 0

Given a mechanical system $(M, \mathcal{F}(M))$, where $M$ is a Poisson manifold and $\mathcal{F}(M)$ the algebra of regular functions on $M$, it is important to be able to quantize it, in order to obtain more precise results than through classical mechanics. An available method is the deformation quantization, which consists in constructing a star-product on the algebra of formal power series $\mathcal{F}(M)[[\hbar]]$. A first step toward study of star-products is the calculation of Hochschild...

Source: http://arxiv.org/abs/0803.3347v2

60
60

Mar 31, 2008
03/08

Mar 31, 2008
by
M. Merkl; F. E. Zimmer; G. Juzeliunas; P. Öhberg

texts

#
eye 60

#
favorite 0

#
comment 0

Ultra-cold atoms which are subject to ultra-relativistic dynamics are investigated. By using optically induced gauge potentials we show that the dynamics of the atoms is governed by a Dirac type equation. To illustrate this we study the trembling motion of the centre of mass for an effective two level system, historically called Zitterbewegung. Its origin is described in detail, where in particular the role of the finite width of the atomic wave packets is seen to induce a damping of both the...

Source: http://arxiv.org/abs/0803.4189v2

156
156

Mar 15, 2008
03/08

Mar 15, 2008
by
Martin Kober

texts

#
eye 156

#
favorite 0

#
comment 0

Gravity with incorporation of additional dimensions and noncommutative geometry.

Source: http://arxiv.org/abs/0803.2308v1

Topics: Pieces, For horn, piano, Scores featuring the horn, Scores featuring the piano, For 2 players

Source: http://imslp.org/wiki/2_Vortragsstücke,_Op.79_(Wilm,_Nicolai_von)

Topics: Secular choruses, Choruses, For childrens chorus, male chorus, trumpet, keyboard, Scores featuring...

Source: http://imslp.org/wiki/Nur_bewegen_lassen_(eller)_(Stark,_Christian)

Topics: Pieces, For horn, 2 trumpets, trombone, tuba, Scores featuring the horn, Scores featuring the...

Source: http://imslp.org/wiki/3_Stücke_für_Blechbläserquintett_(Hoffmann,_Norbert_Rudolf)

94
94

Dec 13, 2007
12/07

Dec 13, 2007
by
A. Radosz; A. T. Augousti; K. Ostasiewicz

texts

#
eye 94

#
favorite 0

#
comment 0

The Doppler shift considered in general relativity involves mixed contributions of distinct, gravitational and kinematical origins and for most metrics or trajectories it takes a complex form. The expression for the Doppler shift may simplify due to particular symmetries. In Schwarzschild spacetime it factorizes in the case of radial fall for an observer and radial null geodesic. The resulting expression is composed of factors that can be identified with contributions arising from classical,...

Source: http://arxiv.org/abs/0712.2154v1

175
175

Dec 3, 2007
12/07

Dec 3, 2007
by
Ansgar Schneider

texts

#
eye 175

#
favorite 0

#
comment 0

We show that the $C^*$-algebraic approach to T-duality of Mathai and Rosenberg is equivalent to the topological approach of Bunke and Schick.

Source: http://arxiv.org/abs/0712.0260v1

399
399

Nov 29, 2007
11/07

Nov 29, 2007
by
Martin Kohls

texts

#
eye 399

#
favorite 0

#
comment 0

Let K be an algebraically closed field. For a graded K-Algebra R, we write cmdef R:=dim R -depth R. We show that for each reductive group G (over K) which is not linearly reductive, there exists a faithful G-module V such that cmdef K[\sum_i=1^k V]^G >= k-2 for all k. We will give such a V explicitly.

Source: http://arxiv.org/abs/0711.4730v1

92
92

Nov 17, 2007
11/07

Nov 17, 2007
by
Martin Kohls

texts

#
eye 92

#
favorite 0

#
comment 0

We give examples of Non-Cohen-Macaulay invariant rings.

Source: http://arxiv.org/abs/0711.2738v1

313
313

Nov 17, 2007
11/07

Nov 17, 2007
by
Martin Kohls

texts

#
eye 313

#
favorite 0

#
comment 0

For G=SL_n or GL_n we construct representations V such that the invariant ring K[V]^G is not Cohen-Macaulay.

Source: http://arxiv.org/abs/0711.2737v1

60
60

Nov 7, 2007
11/07

Nov 7, 2007
by
J. Ponce de Leon

texts

#
eye 60

#
favorite 0

#
comment 0

A striking characteristic of non-Schwarzschild vacuum exteriors is that they contain not only the total gravitational mass of the source, but also an {\it arbitrary} constant. In this work, we show that the constants appearing in the "temporal Schwarzschild", "spatial Schwarzschild" and "Reissner-Nordstr{\"o}m-like" exteriors are not arbitrary but are completely determined by star's parameters, like the equation of state and the gravitational potential....

Source: http://arxiv.org/abs/0711.0998v1

77
77

Oct 22, 2007
10/07

Oct 22, 2007
by
J. P. Krisch; E. N. Glass

texts

#
eye 77

#
favorite 0

#
comment 0

We discuss Israel layers collapsing inward from rest at infinity along Schwarzschild-Lemaitre geodesics. The dynamics of the collapsing layer and its equation of state are developed. There is a general equation of state which is approximately polytropic in the limit of very low pressure. The equation of state establishes a new limit on the stress-density ratio.

Source: http://arxiv.org/abs/0710.4058v1

87
87

Sep 29, 2007
09/07

Sep 29, 2007
by
Ll. Bel

texts

#
eye 87

#
favorite 0

#
comment 0

Schwarzschild's solution of Einstein's field equations in vacuum can be written in many different forms. Unfortunately Schwarzschild's own original form is less nice looking and simple than that latter derived by Droste and Hilbert. We prove here that we can have both: a nice looking simple form and the meaning that Schwarzschild wanted to give to his solution, i.e., that of describing the gravitational field of a massive point particle.

Source: http://arxiv.org/abs/0709.2257v2

92
92

Jun 27, 2007
06/07

Jun 27, 2007
by
Wolfgang Steimle

texts

#
eye 92

#
favorite 0

#
comment 0

This work treats on the question whether a given map f: M -> B of smooth closed manifolds is homotopic to a smooth fiber bundle. We define a first obstruction in H^1(B;Wh(\pi_1(E))) and, provided that this obstruction vanishes and one additional condition is verified, a second obstruction in Wh(\pi_1(E)) >. Both elements vanish if the answer to the above question is positive. In the case where B is the 1-sphere and the dimension of M exceeds five, we show that the converse is also true,...

Source: http://arxiv.org/abs/0706.3973v1

390
390

May 18, 2007
05/07

May 18, 2007
by
Timo Bergmann

texts

#
eye 390

#
favorite 0

#
comment 0

We present a nonrelativistic theory for the quantum mechanical description of longitudinal atomic beam spin echo experiments, where a beam of neutral atoms is subjected to static electric and magnetic fields. The atomic wave function is the solution of a matrix-valued Schroedinger equation and can be written as superposition of local (atomic) eigenstates of the potential matrix. The position- and time-dependent amplitude function of each eigenstate represents an atomic wave packet and can be...

Source: http://arxiv.org/abs/0705.2508v2

117
117

Apr 20, 2007
04/07

Apr 20, 2007
by
Ralf Stephan

texts

#
eye 117

#
favorite 0

#
comment 0

Diese kurze Einfuehrung in Theorie und Berechnung linearer Rekurrenzen versucht, eine Luecke in der Literatur zu fuellen. Zu diesem Zweck sind viele ausfuehrliche Beispiele angegeben. This short introduction to theory and usage of linear recurrences tries to fill a gap in the literature by giving many extensive examples.

Source: http://arxiv.org/abs/0704.2481v2

64
64

Apr 5, 2007
04/07

Apr 5, 2007
by
D. Wilczak; P. Zgliczyński

texts

#
eye 64

#
favorite 0

#
comment 0

We present a Lohner type algorithm for the computation of rigorous bounds for solutions of ordinary differential equations and its derivatives with respect to initial conditions up to arbitrary order. As an application we prove the existence of multiple invariant tori around some elliptic periodic orbits for the pendulum equation with periodic forcing and for Michelson system.

Source: http://arxiv.org/abs/0704.0720v1

98
98

Feb 16, 2007
02/07

Feb 16, 2007
by
Peter Collas; David Klein

texts

#
eye 98

#
favorite 0

#
comment 0

We use Fermi coordinates to calculate the canonical partition function for an ideal gas in a circular geodesic orbit in Schwarzschild spacetime. To test the validity of the results we prove theorems for limiting cases. We recover the Newtonian gas law subject only to tidal forces in the Newtonian limit. Additionally we recover the special relativistic gas law as the radius of the orbit increases to infinity. We also discuss how the method can be extended to the non ideal gas case.

Source: http://arxiv.org/abs/gr-qc/0603086v3

145
145

Jan 11, 2007
01/07

Jan 11, 2007
by
Urs Hackstein

texts

#
eye 145

#
favorite 0

#
comment 0

We define functorial isomorphisms of parallel transport along etale paths for a class of G-principal bundles on a p-adic curve where G is a connected reductive algebraic group of finite presentation. This class consists of all principal bundles with potentially strongly semistable reduction of degree zero. In particular, this construction gives us a continous functor from the etale fundamental grupoid of the given curve to the category of topological spaces with a simply transitive continous...

Source: http://arxiv.org/abs/math/0701315v1

Topics: Pieces, For 2 cellos, Scores featuring the cello, For 2 players

Source: http://imslp.org/wiki/Gefärbte_Blöcke_2_-_Augen_und_Eier_(Stark,_Christian)

91
91

Nov 28, 2006
11/06

Nov 28, 2006
by
D. Stauffer; C. Schulze; S. Wichmann

texts

#
eye 91

#
favorite 0

#
comment 0

Recent computer simulations of the competition between thousands of languages are reviewed, and some new results on language families and language similarities are presented.

Source: http://arxiv.org/abs/physics/0611037v2

71
71

Oct 26, 2006
10/06

Oct 26, 2006
by
Hiroyuki Abe; Yutaka Sakamura

texts

#
eye 71

#
favorite 0

#
comment 0

We reinterpret the Scherk-Schwarz (SS) boundary condition for SU(2)_R in a compactified five-dimensional (5D) Poincare supergravity in terms of the twisted SU(2)_U gauge fixing in 5D conformal supergravity. In such translation, only the compensator hypermultiplet is relevant to the SS twist, and various properties of the SS mechanism can be easily understood. Especially we show the equivalence between the SS twist and boundary constant superpotentials at the full supergravity level.

Source: http://arxiv.org/abs/hep-th/0610279v1

72
72

Sep 19, 2006
09/06

Sep 19, 2006
by
Anne V. Shepler; Sarah Witherspoon

texts

#
eye 72

#
favorite 0

#
comment 0

We develop and collect techniques for determining Hochschild cohomology of skew group algebras S(V)#G and apply our results to graded Hecke algebras. We discuss the explicit computation of certain types of invariants under centralizer subgroups, focusing on the infinite family of complex reflection groups G(r,p,n) to illustrate our ideas. Resulting formulas for Hochschild two-cocycles give information about deformations of S(V)#G and, in particular, about graded Hecke algebras. We expand the...

Source: http://arxiv.org/abs/math/0603231v2

64
64

May 23, 2006
05/06

May 23, 2006
by
Alexandru Ghitza

texts

#
eye 64

#
favorite 0

#
comment 0

We show that the systems of Hecke eigenvalues occurring in the spaces of Siegel modular forms (mod p) of fixed dimension g, fixed level N, and varying weight, are the same as the systems occurring in the spaces of Siegel cusp forms with the same parameters and varying weight. In particular, in the case g=1, this says that the Hecke eigensystems (mod p) coming from classical modular forms are the same as those coming from cusp forms. The proof uses restriction to the superspecial locus. We also...

Source: http://arxiv.org/abs/math/0511728v2

72
72

May 3, 2006
05/06

May 3, 2006
by
Steffen Krusch; Paul Sutcliffe

texts

#
eye 72

#
favorite 0

#
comment 0

We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if the coupling constant is very close to the critical value separating Type I from Type II superconductors. However, there are significant qualitative differences even for modest deviations from the critically coupled regime. Radiation effects...

Source: http://arxiv.org/abs/cond-mat/0511053v2

95
95

Mar 13, 2006
03/06

Mar 13, 2006
by
E. Krätzel; W. G. Nowak

texts

#
eye 95

#
favorite 0

#
comment 0

An effective estimate for the lattice point discrepancy of ellipsoids of rotation. This paper provides an explicit bound, with numerical constants, for the lattice point discrepancy (= number of integer points minus volume) of an ellipsoid Q < x, where Q is a positive definite ternary quadratic form, diagonalized and invariant with respect to rotations around one coordinate axis. In the result the exponent of x in the leading term is equal to 11/16.

Source: http://arxiv.org/abs/math/0603292v1

Topics: Variations, For organ, Scores featuring the organ, For 1 player

Source: http://imslp.org/wiki/8_Variations_on_'O_Haupt_voll_Blut_und_Wunden'_(St._George_Tucker,_Tui)

55
55

Sep 12, 2005
09/05

Sep 12, 2005
by
Eugenii Shustin; Zur Izhakian

texts

#
eye 55

#
favorite 0

#
comment 0

We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and addition.

Source: http://arxiv.org/abs/math/0508413v2

68
68

Sep 8, 2005
09/05

Sep 8, 2005
by
Pavel Etingof; Wee Liang Gan; Victor Ginzburg

texts

#
eye 68

#
favorite 0

#
comment 0

We study a generalization of graded Hecke algebras introduced by Drinfeld in 1986, in which the role of a finite group G is played by a reductive algebraic group. This includes continuous generalizations of symplectic reflection algebras and of rational Cherednik algebras. We prove direct and converse PBW theorems, and also study versions of our algebras in which the group G is replaced with its Lie algebra. We also begin to develop the representation theory of continuous Hecke algebras, which...

Source: http://arxiv.org/abs/math/0501192v3

139
139

Jun 25, 2005
06/05

Jun 25, 2005
by
H. -J. Schmidt

texts

#
eye 139

#
favorite 0

#
comment 0

We comment on the paper [1] by Albert Einstein from 1918 to Willem De Sitter's solution [2] of the Einstein field equation from today's point of view. To this end, we start by describing the geometry of the De Sitter space-time and present its importance for the inflationary cosmological model.

Source: http://arxiv.org/abs/gr-qc/0506121v1

56
56

Jun 7, 2005
06/05

Jun 7, 2005
by
A. Alekseev; E. Meinrenken

texts

#
eye 56

#
favorite 0

#
comment 0

Let U(n) be the unitary group, and $u(n)^*$ the dual of its Lie algebra, equipped with the Kirillov Poisson structure. In their 1983 paper, Guillemin-Sternberg introduced a densely defined Hamiltonian action of a torus of dimension $(n-1)n/2$ on $u(n)^*$, with moment map given by the Gelfand-Zeitlin coordinates. A few years later, Flaschka-Ratiu described a similar, `multiplicative' Gelfand-Zeitlin system for the Poisson Lie group $U(n)^*$. By the Ginzburg-Weinstein theorem, $U(n)^*$ is...

Source: http://arxiv.org/abs/math/0506112v1

56
56

Jun 1, 2005
06/05

Jun 1, 2005
by
Denis Auroux; Simon K Donaldson; Ludmil Katzarkov

texts

#
eye 56

#
favorite 0

#
comment 0

We consider structures analogous to symplectic Lefschetz pencils in the context of a closed 4-manifold equipped with a `near-symplectic' structure (ie, a closed 2-form which is symplectic outside a union of circles where it vanishes transversely). Our main result asserts that, up to blowups, every near-symplectic 4-manifold (X,omega) can be decomposed into (a) two symplectic Lefschetz fibrations over discs, and (b) a fibre bundle over S^1 which relates the boundaries of the Lefschetz fibrations...

Source: http://arxiv.org/abs/math/0410332v2

46
46

Feb 25, 2005
02/05

Feb 25, 2005
by
Jean-Louis Colliot-Th'el`ene

texts

#
eye 46

#
favorite 0

#
comment 0

Given a smooth, projective irreducible variety over the reals, various algebraic formulas have been given for the number of real connected components of the set of real points. In this note I compare a formula of E. Becker and D. Gondard (1995) with a formula I gave in 1978. I show how one may deduce one from the other by using a purity theorem of M. Rost (1990). ----- E. Becker und D. Gondard haben eine algebraische Formel fuer die Anzahl von Zusammenhangskomponenten des Raumes der reellen...

Source: http://arxiv.org/abs/math/0502538v1