1 citations · 1 across the 4 of their papers we have counts for
4 papers
Entropy structures with continuous partitions of unity
Jérôme Carrand
Using only continuous partitions of unity, we provide equivalent definitions for the metric, topological and topological tail entropies and pressures of a continuous self-map of a…
A direct proof of the existence of MME for finite horizon Sinai billiards
Jérôme Carrand
The Sinai billiard map on the two-torus, i.e., the periodic Lorentz gaz, is a discontinuous map. Assuming finite horizon and another condition we introduce -- namely \emph{negl…
Measure of maximal entropy for finite horizon Sinai billiard flows
Viviane Baladi, Jérôme Carrand, Mark Demers
Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "leapfrogging" method from a previous article of Baladi and Demers, we construct th…
A family of natural equilibrium measures for Sinai billiard flows
Jérôme Carrand
The Sinai billiard flow on the two-torus, i.e., the periodic Lorentz gas, is a continuous flow, but it is not everywhere differentiable. Assuming finite horizon, we relate the equi…