Phase transitions and appearance of ghost measures

Paulo Varandas (UFBA/Porto)

20-Nov-2020, 09:15-10:45 (3 years ago)

Abstract: The thermodynamic formalism for transitive uniformly hyperbolic dynamics is nowadays well understood and, among other aspects, it is worth mentioning that regular potentials (meaning Holder continuous) are so that the pressure function is differentiable and admit unique equilibrium states. The situation changes drastically in simple examples beyond uniform hyperbolicity, as the case of the Manneville-Pomeau maps, where different kinds of phase transitions appear due to the phenomenon of intermittency of an indifferent fixed point. In this talk I will focus on this family and discuss a new aspect of the phase transitions, namely the appearance of finitely additive absolutely continuous invariant measures.In particular, the second-order phase transition can be detected as a first-order phase transition for an extended pressure function. This is part of an ongoing work with A. Castro (UFBA) and L. Cioletti (UnB).

dynamical systems

Audience: researchers in the topic


Dynamical systems seminar at the Jagiellonian University

Organizers: Dominik Kwietniak, Roman Srzednicki, Klaudiusz Wójcik
Curator: Marcin Kulczycki*
*contact for this listing

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