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Groups, Graphs and Random Walks
  • Language: en
  • Pages: 539

Groups, Graphs and Random Walks

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

Topics in Probability and Lie Groups: Boundary Theory
  • Language: en
  • Pages: 214

Topics in Probability and Lie Groups: Boundary Theory

This volume is comprised of two parts: the first contains articles by S. N. Evans, F. Ledrappier, and Figa-Talomanaca. These articles arose from a Centre de Recherches de Mathematiques (CRM) seminar entitiled, ``Topics in Probability on Lie Groups: Boundary Theory''. Evans gives a synthesis of his pre-1992 work on Gaussian measures on vector spaces over a local field. Ledrappier uses the freegroup on $d$ generators as a paradigm for results on the asymptotic properties of random walks and harmonic measures on the Martin boundary. These articles are followed by a case study by Figa-Talamanca using Gelfand pairs to study a diffusion on a compact ultrametric space. The second part of the book i...

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality
  • Language: en
  • Pages: 134

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality

Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index

Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop
  • Language: en
  • Pages: 462

Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop

This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.

Topology, Ergodic Theory, Real Algebraic Geometry
  • Language: en
  • Pages: 300

Topology, Ergodic Theory, Real Algebraic Geometry

This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.

Semigroups Underlying First-Order Logic
  • Language: en
  • Pages: 298

Semigroups Underlying First-Order Logic

Boolean, relation-induced, and other operations for dealing with first-order definability Uniform relations between sequences Diagonal relations Uniform diagonal relations and some kinds of bisections or bisectable relations Presentation of ${\mathbf S}_q$, ${\mathbf S}_p$ and related structures Presentation of ${\mathbf S}_{pq}$, ${\mathbf S}_{pe}$ and related structures Appendix. Presentation of ${\mathbf S}_{pqe}$ and related structures Bibliography Index of symbols Index of phrases and subjects List of relations involved in presentations Synopsis of presentations

Discrete Geometric Analysis
  • Language: en
  • Pages: 274

Discrete Geometric Analysis

Collects papers from the proceedings of the first symposium of the Japan Association for Mathematical Sciences. This book covers topics that center around problems of geometric analysis in relation to heat kernels, random walks, and Poisson boundaries on discrete groups, graphs, and other combinatorial objects.

Potential Theory
  • Language: en
  • Pages: 417

Potential Theory

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Proceedings of the Euroworkshop on Foliations Geometry and Dynamics, 29 May-9 June 2000, Warsaw, Poland
  • Language: en
  • Pages: 462

Proceedings of the Euroworkshop on Foliations Geometry and Dynamics, 29 May-9 June 2000, Warsaw, Poland

Contains surveys and research articles regarding different aspects of the theory of foliation.

Maximum Principles on Riemannian Manifolds and Applications
  • Language: en
  • Pages: 118

Maximum Principles on Riemannian Manifolds and Applications

Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.