• Corpus ID: 14142199

Random walks in random environment on trees and multiplicative chaos 1

@article{Menshikov2001RandomWI,
  title={Random walks in random environment on trees and multiplicative chaos 1},
  author={Mikhail Menshikov and Dimitri Petritis},
  journal={arXiv: Probability},
  year={2001}
}
We study random walks in a random environment on a regular, rooted, coloured tree. The asymptotic behaviour of the walks is classified for ergodicity/transience in terms of the geometric properties of the matrix describing the random environment. A related problem, with only one type of vertices and quite stringent conditions on the transition probabilities but on general trees has been considered previously in the literature (15). In the presentation we give here, we restrict the study of the… 

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