Publications (28)
On concentration inequalities and their applications for Gibbs measures in lattice systems
J. -R. Chazottes, P. Collet, F. Redig
We consider Gibbs measures on the configuration space , where mostly and is a finite set. We start by a short review on concentration inequalities f…
Evolution of concentration under lattice spin-flip dynamics
J. -R. Chazottes, P. Collet, F. Redig
We consider spin-flip dynamics of configurations in , and study the time evolution of concentration inequalities. For "weakly interacting" dynamics we show…
Wetting transitions for a random line in long-range potential
P. Collet, F. Dunlop, T. Huillet
We consider a restricted Solid-on-Solid interface in , subject to a potential behaving at infinity like . Whenever there is a we…
The Definition and Measurement of the Topological Entropy per Unit Volume in Parabolic PDE's
P. Collet, J. -P. Eckmann
We define the topological entropy per unit volume in parabolic PDE's such as the complex Ginzburg-Landau equation, and show that it exists, and is bounded by the upper Hausdorff di…
Thermodynamic Limit Of The Ginzburg-Landau Equations
P. Collet
We investigate the existence of a global semiflow for the complex Ginzburg-Landau equation on the space of bounded functions in unbounded domain. This semiflow is proven to exist i…
On the asymptotic measure of periodic subsystems of finite type in symbolic dynamics
J. -R. Chazottes, Z. Coelho, P. Collet
Let $Î\subsetneq\V$ be a proper subset of the vertices $\V$ of the defining graph of an aperiodic shift of finite type . Let be the union of cylinders in…