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Random environment on coloured trees

Petritis, Dimitri; Menshikov, Mikhail and Volkov, Stanislav LU (2007) In Bernoulli 13(4). p.966-980
Abstract
In this paper, we study a regular rooted coloured tree with random labels assigned to its edges, where the distribution of the label assigned to an edge depends on the colours of its endpoints. We obtain some new results relevant to this model and also show how our model generalizes many other probabilistic models, including random walk in random environment on trees, recursive distributional equations and multi-type branching random walk on ℝ.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Bernoulli
volume
13
issue
4
pages
966 - 980
publisher
Chapman and Hall
external identifiers
  • scopus:47249099716
ISSN
1350-7265
DOI
10.3150/07-BEJ101
language
English
LU publication?
no
id
0571575c-bf09-46b7-b5f7-d597eb8263ac (old id 4588114)
alternative location
http://projecteuclid.org/euclid.bj/1194625598
date added to LUP
2014-08-18 15:19:15
date last changed
2017-01-01 05:10:09
@article{0571575c-bf09-46b7-b5f7-d597eb8263ac,
  abstract     = {In this paper, we study a regular rooted coloured tree with random labels assigned to its edges, where the distribution of the label assigned to an edge depends on the colours of its endpoints. We obtain some new results relevant to this model and also show how our model generalizes many other probabilistic models, including random walk in random environment on trees, recursive distributional equations and multi-type branching random walk on ℝ.},
  author       = {Petritis, Dimitri and Menshikov, Mikhail and Volkov, Stanislav},
  issn         = {1350-7265},
  language     = {eng},
  number       = {4},
  pages        = {966--980},
  publisher    = {Chapman and Hall},
  series       = {Bernoulli},
  title        = {Random environment on coloured trees},
  url          = {http://dx.doi.org/10.3150/07-BEJ101},
  volume       = {13},
  year         = {2007},
}