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:
https://lup.lub.lu.se/record/4588114
- author
- Petritis, Dimitri
; Menshikov, Mikhail
and Volkov, Stanislav
LU
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Bernoulli
- volume
- 13
- issue
- 4
- pages
- 966 - 980
- publisher
- Bernoulli Society for Mathematical Statistics and Probability
- 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
- 2016-04-01 12:28:06
- date last changed
- 2025-04-04 14:05:49
@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 = {{Bernoulli Society for Mathematical Statistics and Probability}},
series = {{Bernoulli}},
title = {{Random environment on coloured trees}},
url = {{https://lup.lub.lu.se/search/files/2935707/4588761.pdf}},
doi = {{10.3150/07-BEJ101}},
volume = {{13}},
year = {{2007}},
}