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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…
math.PR2001
Random walks on randomly oriented lattices
Massimo Campanino, Dimitri Petritis
Simple random walks on various types of partially horizontally oriented regular lattices are considered. The horizontal orientations of the lattices can be of various types (determ…