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math.PR2003
Bindweeds or random walks in random environments on multiplexed trees and their asympotics
Mikhail Menshikov, Dimitri Petritis, Serguei Popov
We report on the asymptotic behaviour of a new model of random walk, we term the bindweed model, evolving in a random environment on an infinite multiplexed tree. The term \textit{…
math.PR2001
Random walks in random environment on trees and multiplicative chaos
Mikhail Menshikov, Dimitri Petritis
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 geo…