Harmonic functions on trees and buildings : [electronic resource] Workshop on Harmonic Functions on Graphs, October 30-November 3, 1995, City University of New York / Adam Kor�anyi, editor ; with minicourses by D. Cartwright ... [et al.].

By: Workshop on Harmonic Functions on Graphs (1995 : City University of New York)Contributor(s): Kor�anyi, Adam | Cartwright, Donald I, 1949-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 206.Publication details: Providence, R.I. : American Mathematical Society, c1997Description: 1 online resource (x, 181 p. : ill.)ISBN: 9780821877975 (online)Other title: Trees and buildings [Spine title]Subject(s): Harmonic functions -- Congresses | Graph theory -- CongressesAdditional physical formats: Harmonic functions on trees and buildings :DDC classification: 515/.53 LOC classification: QA405 | .W67 1995Online resources: Contents | Contents
Contents:
Local fields and trees / Alessandro Fig�a-Talamanca -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02684 Martin boundaries and random walks / Stanley A. Sawyer -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02685 A brief introduction to buildings / Donald I. Cartwright -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02687 Local fields and buildings / Tim Steger -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02686 The horocyclic Radon transform on trees / Enrico Casadio Tarabusi -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02690 Eigenfunctions of the Laplacian on a homogeneous tree / Joel M. Cohen and Flavia Colonna -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02691 Exotic convergence in theorems of Fatou type / Fausto Di Biase -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02692 A spectral gap property for transfer operators / Yves Guivarc'h -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02693 Harmonic functions on discrete subgroups of semi-simple Lie groups / Vadim A. Kaimanovich -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02694 Biased random walks and harmonic functions on the lamplighter group / Russell Lyons -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02695 Characterization of the eigenfunctions of the Laplace operators for an affine building of rank $2$ / A. M. Mantero and A. Zappa -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02696 Free product of representations / Wojciech M�otkowski -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02697 The Jacobian of a finite graph / Tatiana Nagnibeda -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02698 Flows and harmonic functions on graphs / S. Northshield -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02699 Applications of diffusion processes on trees to mathematical finance / Mauro Pagliacci -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02700 Characterizing harmonic functions by mean value properties on trees on symmetric spaces / Massimo A. Picardello -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02701 Factors from buildings / Jacqui Ramagge and Guyan Robertson -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02702 Harnack and Liouville properties on graphs / Marco Rigoli, Maura Salvatori and Marco Vignati -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02703 The spectrum of a directed Cayley graph of a free group / Guyan Robertson -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02704 Factorization of the Green's kernel for non-nearest neighbor random walks / Mitchell H. Taibleson -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02705 Harmonic functions for group-invariant random walks / Wolfgang Woess -- http://www.ams.org/conm/206/ http://dx.doi.org/10.1090/conm/206/02706
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Includes bibliographical references.

Local fields and trees / Alessandro Fig�a-Talamanca -- Martin boundaries and random walks / Stanley A. Sawyer -- A brief introduction to buildings / Donald I. Cartwright -- Local fields and buildings / Tim Steger -- The horocyclic Radon transform on trees / Enrico Casadio Tarabusi -- Eigenfunctions of the Laplacian on a homogeneous tree / Joel M. Cohen and Flavia Colonna -- Exotic convergence in theorems of Fatou type / Fausto Di Biase -- A spectral gap property for transfer operators / Yves Guivarc'h -- Harmonic functions on discrete subgroups of semi-simple Lie groups / Vadim A. Kaimanovich -- Biased random walks and harmonic functions on the lamplighter group / Russell Lyons -- Characterization of the eigenfunctions of the Laplace operators for an affine building of rank $2$ / A. M. Mantero and A. Zappa -- Free product of representations / Wojciech M�otkowski -- The Jacobian of a finite graph / Tatiana Nagnibeda -- Flows and harmonic functions on graphs / S. Northshield -- Applications of diffusion processes on trees to mathematical finance / Mauro Pagliacci -- Characterizing harmonic functions by mean value properties on trees on symmetric spaces / Massimo A. Picardello -- Factors from buildings / Jacqui Ramagge and Guyan Robertson -- Harnack and Liouville properties on graphs / Marco Rigoli, Maura Salvatori and Marco Vignati -- The spectrum of a directed Cayley graph of a free group / Guyan Robertson -- Factorization of the Green's kernel for non-nearest neighbor random walks / Mitchell H. Taibleson -- Harmonic functions for group-invariant random walks / Wolfgang Woess --

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http://dx.doi.org/10.1090/conm/206/02706

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

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