4 papers
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{…
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…
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…
Equilibrium statistical mechanics of frustrated spin glasses; a survey of mathematical results
Dimitri Petritis
After a rapid introduction to the physical motivations and a succinct presentation of heuristic results, this survey summarises the main mathematical results known on the Edwards-A…