Random environment on coloured trees

Details Random environment on coloured trees Random environment on coloured trees

2007-07-12

arxiv.org/abs/0707.1746v2

Bernoulli 2007, Vol. 13, No. 4, 966-980

Mathematics

Probability

Published in at http://dx.doi.org/10.3150/07-BEJ101 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/07-BEJ101

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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