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math.DS2026
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…
math.DS2024
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…
math.DS2024
Lipschitz sub-actions for locally maximal hyperbolic sets of a flow
Xifeng Su, Philippe Thieullen
LivÅ¡ic 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 Lip…