Asymptotic properties of harmonic measures on homogeneous trees

Konrad Kolesko

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 2, page 525-537
  • ISSN: 0010-1354

Abstract

top
Let Aff(𝕋) be the group of isometries of a homogeneous tree 𝕋 fixing an end of its boundary. Given a probability measure on Aff(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.

How to cite

top

Konrad Kolesko. "Asymptotic properties of harmonic measures on homogeneous trees." Colloquium Mathematicae 118.2 (2010): 525-537. <http://eudml.org/doc/283940>.

@article{KonradKolesko2010,
abstract = {Let Aff(𝕋) be the group of isometries of a homogeneous tree 𝕋 fixing an end of its boundary. Given a probability measure on Aff(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.},
author = {Konrad Kolesko},
journal = {Colloquium Mathematicae},
language = {eng},
number = {2},
pages = {525-537},
title = {Asymptotic properties of harmonic measures on homogeneous trees},
url = {http://eudml.org/doc/283940},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Konrad Kolesko
TI - Asymptotic properties of harmonic measures on homogeneous trees
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 525
EP - 537
AB - Let Aff(𝕋) be the group of isometries of a homogeneous tree 𝕋 fixing an end of its boundary. Given a probability measure on Aff(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.
LA - eng
UR - http://eudml.org/doc/283940
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.