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

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

Organizer(s) Brown, Aaron ; Dujardin, Romain ; Filip, Simion ; Fisher, David ; Obata, Davi
Date(s) 27/05/2024 - 31/05/2024
linked URL https://indico.math.cnrs.fr/event/9045/
14 20

SH property for unstable laminations and applications to uniqueness of u-Gibbs

By Rafael Potrie

The SH-property for unstable laminations is a topological analog to positive center exponents for u-Gibbs measures. I plan to explain some abundance results for this property in the context of volume preserving partially hyperbolic diffeomorphisms with one-dimensional center and how this implies results on rigidity of u-Gibbs measures in dimension 3. This is part of a joint project in many combinations with A. Avila, S. Crovisier, A. Eskin, A. Wilkinson and Z. Zhang.

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Citation data

  • DOI 10.57987/IHP.2024.T2.WS2.014
  • Cite this video Potrie, Rafael (30/05/2024). SH property for unstable laminations and applications to uniqueness of u-Gibbs. IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS2.014
  • URL https://dx.doi.org/10.57987/IHP.2024.T2.WS2.014

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