Title	Optimization of Lyapunov exponents of matrix cocycles
Creator	Bochi, Jairo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-01-22
Description	I will discuss the problem of optimizing (i.e., maximizing or minimizing) the upper Lyapunov exponent of a matrix cocycle. The main result to be presented, joint with Michal Rams (Warsaw), says that if a 2x2 one-step cocycle has certain hyperbolicity properties (namely, there exist strictly invariant cones whose images do not overlap) then the Lyapunov-optimizing measures have zero entropy. The proof has two steps: first, a generalization of the Barabanov norm (similar to Man ̃ ́e lemma) and second, a study of geometrical constraints between the invariant directions.\r\n
Extent	53 minutes
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: Pontificia Universidad Católica de Chile
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2015-07-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0044849
URI	http://hdl.handle.net/2429/54142
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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