Title	Unstable entropy and pressure for partially hyperbolic systems.
Creator	Hu, Huyi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-03-22T11:10
Description	We study ergodic properties caused by the unstable part of partially hyperbolic systems. We define unstable metric entropy, topological entropy and pressures, and prove the corresponding variational principles. For unstable metric entropy we obtain affineness, upper semi-continuity and a version of Shannon-McMillan-Breiman theorem. We also obtain existence of Gibbs u-states, differentiability properties of unstable pressure, such as tangent functionals, Gateaux differentiability and Frechet differentiability. The results are based on joint works with Weisheng Wu, Yujun Zhu and Yongxia Hua.
Extent	37.0
Subject	Mathematics; Dynamical systems and ergodic theory; Probability theory and stochastic processes; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Michigan State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376993
URI	http://hdl.handle.net/2429/68806
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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