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Journal Articles Bernoulli Year : 2007

Random environment on coloured trees

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 $\mathbb{R}$.
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Dates and versions

hal-00161372 , version 1 (10-07-2007)

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Mikhail Menshikov, Dimitri Petritis, Stanislav Volkov. Random environment on coloured trees. Bernoulli, 2007, 13 (4), pp.966-980. ⟨10.3150/07-BEJ101⟩. ⟨hal-00161372⟩
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