2024 - T2 - WS2 - Group actions with hyperbolicity and measure rigidity

Collection 2024 - T2 - WS2 - Group actions with hyperbolicity and measure rigidity

Organisateur(s) Brown, Aaron ; Dujardin, Romain ; Filip, Simion ; Fisher, David ; Obata, Davi
Date(s) 27/05/2024 - 31/05/2024
URL associée https://indico.math.cnrs.fr/event/9045/
20 20

Rigidity of u-Gibbs states in partially hyperbolic dynamics

De Asaf Katz

SRB measures, being physical measures, are of prime importance in partially hyperbolic systems. Their existence is an open problem - in general. Nevertheless, a related, more general class of measures - known as u-Gibbs states, were known to exist by a theorem of Pesin-Sinai. I will explain how one can adapt the factorization technique, pioneered by Eskin-Mirzakhani, to the setting of smooth dynamics and prove that for quantitatively non-integrable systems a (generalized) u-Gibbs state must be an SRB measure. If time permits, I will try to describe some of the key ideas and constructions of the Eskin-Mirzakhani technique.

Informations sur la vidéo

Données de citation

  • DOI 10.57987/IHP.2024.T2.WS2.020
  • Citer cette vidéo Katz, Asaf (31/05/2024). Rigidity of u-Gibbs states in partially hyperbolic dynamics. IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS2.020
  • URL https://dx.doi.org/10.57987/IHP.2024.T2.WS2.020

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