20 citations · 52 across the 16 of their papers we have counts for
16 papers
Existence of periodic measure-valued solutions to the nonlocal continuity equation via optimal transport
Seung-Yeal Ha, Gyuyoung Hwang, Philippe Thieullen +1
We investigate the existence of periodic solutions for a class of nonlocal continuity equations, which include mean-field equations derived from systems of coupled oscillators. Whi…
Classification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets
Eduardo Garibaldi, Samuel Petite, Philippe Thieullen
In discrete schemes, weak KAM solutions may be interpreted as approximations of correctors for some Hamilton-Jacobi equations in the periodic setting. It is known that correctors m…
Fredholm Property of the Linearized Boltzmann Operator for a Polyatomic Single Gas Model
Stéphane Brull, Marwa Shahine, Philippe Thieullen
In the following work, we consider the Boltzmann equation that models a polyatomic gas by representing the microscopic internal energy by a continuous variable I. Under some conven…
Zero-Temperature Chaos in Bidimensional Models with Finite-Range Potentials
Sebastián Barbieri, Rodrigo Bissacot, Gregório Dalle Vedove +1
We construct a finite-range potential on a bidimensional full shift on a finite alphabet that exhibits a zero-temperature chaotic behavior as introduced by van Enter and Ruszel. Th…
Lipschitz sub-actions for locally maximal hyperbolic sets of a flow
Xifeng Su, Philippe Thieullen
Livšic theorem for flows asserts that a Lipschitz observable that has zero mean average along every periodic orbit is necessarily a coboundary, that is the Lie derivative of a Lips…
Lipschitz sub-actions for locally maximal hyperbolic sets of a maps
Xifeng Su, Philippe Thieullen, Wenzhe Yu
Livšic theorem asserts that, for Anosov diffeomorphisms/flows, a Lipschitz observable is a coboundary if all its Birkhoff sums on every periodic orbits are equal to zero. The trans…