Random environment on coloured trees
Menshikov, Mikhail ; Petritis, Dimitri ; Volkov, Stanislav
Bernoulli, Tome 13 (2007) no. 1, p. 966-980 / Harvested from Project Euclid
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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.
Publié le : 2007-11-14
Classification:  branching random walks,  first-passage percolation,  random environment on trees,  random walk in random environment,  recursive distributional equations 
@article{1194625598,
     author = {Menshikov, Mikhail and Petritis, Dimitri and Volkov, Stanislav},
     title = {Random environment on coloured trees},
     journal = {Bernoulli},
     volume = {13},
     number = {1},
     year = {2007},
     pages = { 966-980},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1194625598}
}

Menshikov, Mikhail; Petritis, Dimitri; Volkov, Stanislav. Random environment on coloured trees. Bernoulli, Tome 13 (2007) no. 1, pp.  966-980. http://gdmltest.u-ga.fr/item/1194625598/