20 citations · 52 across the 16 of their papers we have counts for
14 papers · 1 filter
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…
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…
Discounted Gottschalk-Hedlund theorem
Xifeng Su, Philippe Thieullen
Ergodic optimization and discrete weak KAM theory are two parallel theories with several results in common. For instance, the Mather set is the locus of orbits which minimize the e…
Explicit bounds for separation between Oseledets subspaces
Anthony Quas, Philippe Thieullen, Mohamed Zarrabi
We consider a two-sided sequence of bounded operators in a Banach space which are not necessarily injective and satisfy two properties (SVG) and (FI). The singular value gap (SVG)…