Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations

Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations

Author: Greg Hjorth

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 126

ISBN-13: 0821837710

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Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to orbit equivalence. This title catalogs the actions of products of the free group and obtains additional rigidity theorems and relative ergodicity results in this context.


Integral Transformations and Anticipative Calculus for Fractional Brownian Motions

Integral Transformations and Anticipative Calculus for Fractional Brownian Motions

Author: Yaozhong Hu

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 144

ISBN-13: 0821837044

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A paper that studies two types of integral transformation associated with fractional Brownian motion. They are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.


Uniformizing Dessins and BelyiMaps via Circle Packing

Uniformizing Dessins and BelyiMaps via Circle Packing

Author: Philip L. Bowers

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 118

ISBN-13: 0821835238

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Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.


A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

Author: Jason Fulman

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 104

ISBN-13: 0821837060

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Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.


The Second Duals of Beurling Algebras

The Second Duals of Beurling Algebras

Author: Harold G. Dales

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 206

ISBN-13: 0821837745

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Let $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a Banach algebra. There are two Banach algebra products on $A""$, denoted by $\,\Box\,$ and $\,\Diamond\,$. The Banach algebra $A$ is Arens regular if the two products $\Box$ and $\Diamond$ coincide on $A""$.


Kleinian Groups which Are Limits of Geometrically Finite Groups

Kleinian Groups which Are Limits of Geometrically Finite Groups

Author: Ken'ichi Ōshika

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 136

ISBN-13: 0821837729

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Ahlfors conjectured in 1964 that the limit set of every finitely generated Kleinian group either has Lebesgue measure $0$ or is the entire $S^2$. This title intends to prove that this conjecture is true for purely loxodromic Kleinian groups which are algebraic limits of geometrically finite groups.


Entropy Bounds and Isoperimetry

Entropy Bounds and Isoperimetry

Author: Serguei Germanovich Bobkov

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 88

ISBN-13: 082183858X

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In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo


Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems

Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems

Author: Guy Métivier

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 122

ISBN-13: 0821836498

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Studies two types of integral transformation associated with fractional Brownian motion, that are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.