Harmonic functions on trees and buildings : Workshop on Harmonic Functions on Graphs, October 30-November 3, 1995, City University of New York / [electronic resource] Trees and buildings Adam Kor�anyi, editor ; with minicourses by D. Cartwright ... [et al.]. - Providence, R.I. : American Mathematical Society, c1997. - 1 online resource (x, 181 p. : ill.) - Contemporary mathematics, v. 206 0271-4132 (print); 1098-3627 (online); . - Contemporary mathematics (American Mathematical Society) ; v. 206. .

Includes bibliographical references.

Local fields and trees / Martin boundaries and random walks / A brief introduction to buildings / Local fields and buildings / 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 on 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 / Alessandro Fig�a-Talamanca -- Stanley A. Sawyer -- Donald I. Cartwright -- Tim Steger -- Enrico Casadio Tarabusi -- Joel M. Cohen and Flavia Colonna -- Fausto Di Biase -- Yves Guivarc'h -- Vadim A. Kaimanovich -- Russell Lyons -- A. M. Mantero and A. Zappa -- Wojciech M�otkowski -- Tatiana Nagnibeda -- S. Northshield -- Mauro Pagliacci -- Massimo A. Picardello -- Jacqui Ramagge and Guyan Robertson -- Marco Rigoli, Maura Salvatori and Marco Vignati -- Guyan Robertson -- Mitchell H. Taibleson -- Wolfgang Woess -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02684 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02685 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02687 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02686 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02690 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02691 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02692 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02693 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02694 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02695 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02696 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02697 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02698 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02699 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02700 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02701 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02702 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02703 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02704 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02705 http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02706

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9780821877975 (online)


Harmonic functions--Congresses.
Graph theory--Congresses.

QA405 / .W67 1995

515/.53
The Institute of Mathematical Sciences, Chennai, India

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