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Harmonic functions on trees and buildings : Workshop on Harmonic Functions on Graphs, October 30-November 3, 1995, City University of New York /

Détails bibliographiques
Cote:Libro Electrónico
Collectivité auteur: Workshop on Harmonic Functions on Graphs City University of New York
Autres auteurs: Korányi, Adam (Éditeur intellectuel), Cartwright, Donald I., 1949- (Collaborateur)
Format: Électronique Actes de congrès eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, [1997]
Collection:Contemporary mathematics (American Mathematical Society) ; 206.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • Contents
  • Preface
  • Part I. Minicourses.
  • Local fields and trees
  • Martin boundaries and random walks
  • A brief introduction to buildings
  • Local fields and buildings
  • Part II. Abstracts of Lectures.
  • Heat kernel for regular trees
  • Tensor product of spherical representations of the group of automorphisms of a homogeneous tree
  • The horocyclic Radon transform on trees
  • Eigenfunctions of the Laplacian on a homogeneous tree
  • Exotic convergence in theorems of Fatou type
  • A spectral gap property for transfer operators
  • Harmonic functions on discrete subgroups of semi-simple Lie groupsBiased random walks and harmonic functions on the Lamplighter group
  • Characterization of the eigenfunctions of the Laplace operators for an affine building of rank 2
  • Free product of representations
  • The Jacobian of a finite graph
  • Flows and harmonic functions on graphs
  • Applications of diffusion processes on trees to mathematical finance
  • Characterizing harmonic functions by mean value properties on trees and symmetric spaces
  • Factors from buildings
  • Harnack and Liouville properties on graphsThe spectrum of a directed Cayley graph of a free group
  • Factorization of the Green's kernel for non-nearest neighbor random walks
  • Harmonic functions for group-invariant random walks