Contents
Preface
ADAM KORANYI
Part I. Minicourses.
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
Part II. Abstracts of Lectures.
Heat kernel for regular trees
ix
3
17
45
79
DEBE BEDNARCHAK
111
Tensor product of spherical representations of the group of automorphisms
of a homogeneous tree
DONALD
I.
CARTWRIGHT,
M.
GABRIELLA KUHN*, AND PAOLO
M.
SOARD!
113
The horocyclic Radon transform on trees
ENRICO CASADIO TARABUSI
117
Eigenfunctions of the Laplacian on a homogeneous tree
JOEL
M.
COHEN* AND FLAVIA COLONNA
121
Exotic convergence in theorems of Fatou type
FAUSTO DI BlASE
125
A spectral gap property for transfer operators
YVES GUIVARC1H
129
Harmonic functions on discrete subgroups of semi-simple Lie groups
VADIM A. KAIMANOVICH
133
vii
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