1.

Record Nr.

UNINA9910480462903321

Titolo

Harmonic functions on trees and buildings : Workshop on Harmonic Functions on Graphs, October 30-November 3, 1995, City University of New York / / Adam Korányi, editor ; with minicourses by D. Cartwright [and three others]

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1997]

©1997

ISBN

0-8218-7797-6

Descrizione fisica

1 online resource (194 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 206

Disciplina

515/.53

Soggetti

Harmonic functions

Graph theory

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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 groups""""Biased 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 graphs""""The 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""