71 citations · 73 across the 3 of their papers we have counts for
4 papers
Asymptotic pairs in positive-entropy systems
François Blanchard, Bernard Host, Sylvie Ruette
We show that in a topological dynamical system of positive entropy there exist proper (positively) asymptotic pairs, that is, pairs such that and $\lim_{…
The Logarithmic Sobolev Constant of The Lamplighter
Evgeny Abakumov, Anne Beaulieu, François Blanchard +17
We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.
Topological chaos: what may this mean ?
François Blanchard
We confront existing definitions of chaos with the state of the art in topological dynamics. The article does not propose any new definition of chaos but, starting from several top…
Some properties of cellular automata with equicontinuity points
Francois Blanchard, Pierre Tisseur
We investigate topological and ergodic properties of cellular automata having equicontinuity points. In this class surjectivity on a transitive SFT implies existence of a dense set…