6 citations · 9 across the 3 of their papers we have counts for
4 papers
Classification of Backward Filtrations and Factor Filtrations: Examples from Cellular Automata
Paul Lanthier, Thierry de la Rue
We consider backward filtrations generated by processes coming from deterministic and probabilistic cellular automata. We prove that these filtrations are standard in the classical…
Product of two staircase rank one transformations that is not loosely Bernoulli
Adam Kanigowski, Thierry De La Rue
We construct two staircase rank one transformations whose Cartesian product is not loosely Bernoulli.
On typicality of translation flows which are disjoint with their inverse
Przemyslaw Berk, Krzysztof Fraczek, Thierry de la Rue
In this paper we prove that translation structures for which the corresponding vertical translation flows is weakly mixing and disjoint with its inverse, form a -dense set in…
Growth rate for the expected value of a generalized random Fibonacci sequence
Elise Janvresse, Benoît Rittaud, Thierry De La Rue
A random Fibonacci sequence is defined by the relation g_n = | g_{n-1} +/- g_{n-2} |, where the +/- sign is chosen by tossing a balanced coin for each n. We generalize these sequen…