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Harmonic Functions on Trees and Buildings

About this Title

Adam Korányi, Editor

Publication: Contemporary Mathematics
Publication Year: 1997; Volume 206
ISBNs: 978-0-8218-0605-0 (print); 978-0-8218-7797-5 (online)
DOI: https://doi.org/10.1090/conm/206
MathSciNet review: 1463725

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Table of Contents

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Front/Back Matter

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Part I. Minicourses

• Alessandro Figà-Talamanca – Local fields and trees [MR 1463726]
• Stanley A. Sawyer – Martin boundaries and random walks [MR 1463727]
• Donald I. Cartwright – A brief introduction to buildings [MR 1463728]
• Tim Steger – Local fields and buildings [MR 1463729]

Part II. Abstracts of Lectures

• Enrico Casadio Tarabusi – The horocyclic Radon transform on trees [MR 1463732]
• Joel M. Cohen and Flavia Colonna – Eigenfunctions of the Laplacian on a homogeneous tree [MR 1463733]
• Fausto Di Biase – Exotic convergence in theorems of Fatou type [MR 1463734]
• Yves Guivarc’h – A spectral gap property for transfer operators [MR 1463735]
• Vadim A. Kaimanovich – Harmonic functions on discrete subgroups of semi-simple Lie groups [MR 1463736]
• Russell Lyons – Biased random walks and harmonic functions on the lamplighter group [MR 1463737]
• A. M. Mantero and A. Zappa – Characterization of the eigenfunctions of the Laplace operators for an affine building of rank $2$ [MR 1463738]
• Wojciech Młotkowski – Free product of representations [MR 1463739]
• Tatiana Nagnibeda – The Jacobian of a finite graph [MR 1463740]
• S. Northshield – Flows and harmonic functions on graphs [MR 1463741]
• Mauro Pagliacci – Applications of diffusion processes on trees to mathematical finance [MR 1463742]
• Massimo A. Picardello – Characterizing harmonic functions by mean value properties on trees on symmetric spaces [MR 1463743]
• Jacqui Ramagge and Guyan Robertson – Factors from buildings [MR 1463744]
• Marco Rigoli, Maura Salvatori and Marco Vignati – Harnack and Liouville properties on graphs [MR 1463745]
• Guyan Robertson – The spectrum of a directed Cayley graph of a free group [MR 1463746]
• Mitchell H. Taibleson – Factorization of the Green’s kernel for non-nearest neighbor random walks [MR 1463747]
• Wolfgang Woess – Harmonic functions for group-invariant random walks [MR 1463748]