Random environment on coloured trees
(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
- 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
- 2016-04-01 12:28:06
- date last changed
- 2022-01-27 05:26:40
@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 = {{https://lup.lub.lu.se/search/files/2935707/4588761.pdf}}, doi = {{10.3150/07-BEJ101}}, volume = {{13}}, year = {{2007}}, }