Quilts Central Extensions Braid Actions And Finite Groups

Author : Tim Hsu
Publisher : Springer
Page : 189 pages
File Size : 50,9 Mb
Release : 2007-05-06
Category : Mathematics
ISBN : 9783540455806

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Quilts: Central Extensions, Braid Actions, and Finite Groups by Tim Hsu Pdf

Quilts are 2-complexes used to analyze actions and subgroups of the 3-string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensions, braid actions, and finite groups. Most results have not previously appeared in a widely available form, and many results appear in print for the first time. This monograph is accessible to graduate students, as a substantial amount of background material is included. The methods and results may be relevant to researchers interested in infinite groups, moonshine, central extensions, triangle groups, dessins d'enfants, and monodromy actions of braid groups.

Author : Bernhard Schmidt
Publisher : Springer
Page : 108 pages
File Size : 46,5 Mb
Release : 2004-10-14
Category : Mathematics
ISBN : 9783540457978

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Characters and Cyclotomic Fields in Finite Geometry by Bernhard Schmidt Pdf

This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13

Author : Jens M. Melenk
Publisher : Springer
Page : 326 pages
File Size : 44,9 Mb
Release : 2004-10-20
Category : Mathematics
ISBN : 9783540457817

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hp-Finite Element Methods for Singular Perturbations by Jens M. Melenk Pdf

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

Author : Hirotaka Akiyoshi,Makoto Sakuma,Masaaki Wada,Yasushi Yamashita
Publisher : Springer
Page : 293 pages
File Size : 48,6 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540718079

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Punctured Torus Groups and 2-Bridge Knot Groups (I) by Hirotaka Akiyoshi,Makoto Sakuma,Masaaki Wada,Yasushi Yamashita Pdf

Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.

Author : Yorck Sommerhäuser
Publisher : Springer
Page : 164 pages
File Size : 48,7 Mb
Release : 2004-10-20
Category : Mathematics
ISBN : 9783540454236

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Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order by Yorck Sommerhäuser Pdf

Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras.

Author : Alexander Isaev
Publisher : Springer
Page : 149 pages
File Size : 53,8 Mb
Release : 2007-03-11
Category : Mathematics
ISBN : 9783540691532

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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds by Alexander Isaev Pdf

In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.

Author : Nakao Hayashi,Elena I. Kaikina,Pavel Naumkin,Ilya A. Shishmarev
Publisher : Springer
Page : 557 pages
File Size : 43,8 Mb
Release : 2006-08-29
Category : Mathematics
ISBN : 9783540320609

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Asymptotics for Dissipative Nonlinear Equations by Nakao Hayashi,Elena I. Kaikina,Pavel Naumkin,Ilya A. Shishmarev Pdf

This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.

Author : Shigeru Takamura
Publisher : Springer
Page : 594 pages
File Size : 48,9 Mb
Release : 2006-10-11
Category : Mathematics
ISBN : 9783540333647

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Splitting Deformations of Degenerations of Complex Curves by Shigeru Takamura Pdf

Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a subdivisor is "barked," or peeled off from the singular fiber. "Barking deformations" are related to deformations of surface singularities, in particular, cyclic quotient singularities, as well as the mapping class groups of Riemann surfaces via monodromies.

Author : Gordon Slade
Publisher : Springer
Page : 233 pages
File Size : 46,5 Mb
Release : 2006-08-29
Category : Mathematics
ISBN : 9783540355182

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The Lace Expansion and its Applications by Gordon Slade Pdf

The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.

Author : Raphaël Cerf
Publisher : Springer
Page : 264 pages
File Size : 45,6 Mb
Release : 2006-08-29
Category : Mathematics
ISBN : 9783540348061

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The Wulff Crystal in Ising and Percolation Models by Raphaël Cerf Pdf

This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.

Author : James Lepowsky,John McKay,Michael P. Tuite
Publisher : Cambridge University Press
Page : 415 pages
File Size : 51,7 Mb
Release : 2010-06-03
Category : Mathematics
ISBN : 9780521106641

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Moonshine - The First Quarter Century and Beyond by James Lepowsky,John McKay,Michael P. Tuite Pdf

This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.

Author : Anonim
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 47,7 Mb
Release : 2005
Category : Eisenstein series
ISBN : 354025787X

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Posn(R) and Eisenstein Series by Anonim Pdf

Author : Claudia Prévôt,Michael Röckner
Publisher : Springer
Page : 148 pages
File Size : 52,5 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540707813

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A Concise Course on Stochastic Partial Differential Equations by Claudia Prévôt,Michael Röckner Pdf

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach" and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach". A large part of necessary background material is included in appendices.

Author : Martin Rasmussen
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 49,9 Mb
Release : 2007-06-08
Category : Mathematics
ISBN : 9783540712244

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Attractivity and Bifurcation for Nonautonomous Dynamical Systems by Martin Rasmussen Pdf

Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions.

Author : Vasile Berinde
Publisher : Springer
Page : 338 pages
File Size : 43,7 Mb
Release : 2007-04-20
Category : Mathematics
ISBN : 9783540722342

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Iterative Approximation of Fixed Points by Vasile Berinde Pdf

This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.