Asymptotic properties of harmonic measures on homogeneous
trees
Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 525-537
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Let ${\rm Aff} ({\mathbb T})$ be the group of isometries of a homogeneous tree
${\mathbb T}$ fixing an end of its boundary. Given a probability measure on
${\rm Aff} ({\mathbb T})$ we consider an associated
random process on the tree. It is known that under suitable hypothesis
this random process converges to the boundary of the tree
defining a harmonic measure there. In this paper we study the
asymptotic behaviour of this measure.
Keywords:
aff mathbb group isometries homogeneous tree mathbb fixing end its boundary given probability measure aff mathbb consider associated random process tree known under suitable hypothesis random process converges boundary tree defining harmonic measure there paper study asymptotic behaviour measure
Affiliations des auteurs :
Konrad Kolesko 1
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author = {Konrad Kolesko},
title = {Asymptotic properties of harmonic measures on homogeneous
trees},
journal = {Colloquium Mathematicum},
pages = {525--537},
year = {2010},
volume = {118},
number = {2},
doi = {10.4064/cm118-2-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm118-2-9/}
}
Konrad Kolesko. Asymptotic properties of harmonic measures on homogeneous trees. Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 525-537. doi: 10.4064/cm118-2-9
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