48 citations · 50 across the 6 of their papers we have counts for
6 papers
Quasi-similarity, entropy and disjointness of ergodic systems
Valery V. Ryzhikov, Jean-Paul Thouvenot
Answering Vershik's question we show that quasi-similarity does not conserve the entropy, proving quasi-similarity of all Bernoulli actions of a countable infinite group. We prove…
An ergodic system is dominant exactly when it has positive entropy
Tim Austin, Eli Glasner, Jean-Paul Thouvenot +1
An ergodic dynamical system is called dominant if it is isomorphic to a generic extension of itself. It was shown in an earlier paper by Glasner, Thouvenot and Weiss t…
On some generic classes of ergodic measure preserving transformations
Eli Glasner, Jean-Paul Thouvenot, Benjamin Weiss
We answer positively a question of Ryzhikov, namely we show that being a relatively weakly mixing extension is a comeager property in the Polish group of measure preserving transfo…
Bounded complexity, mean equicontinuity and discrete spectrum
Wen Huang, Jian Li, Jean-Paul Thouvenot +2
We study dynamical systems which have bounded complexity with respect to three kinds metrics: the Bowen metric , the max-mean metric and the mean metric $\bar{d}_n…
On the convergence to of mod
Bassam Fayad, Jean-Paul Thouvenot
We show that for any irrational number $\a$ and a sequence of integers such that $\displaystyle{\lim_{l\to \infty} \norm{m_l \a} = 0}$, there exists a continuou…
Shannon entropy for stationary processes and dynamical systems
D. Hamdan, W. Parry, J. -P. Thouvenot
We consider stationary ergodic processes indexed by or whose finite dimensional marginals have laws which are absolutely continuous with respect to Lebesg…