Title	Metric entropy and stochastic laws of invariant measures for elliptic functions
Creator	Kotus, Janina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-23T09:30
Description	We consider a class of critically tame elliptic function $f : \mathbb C \to \hat{\mathbb C}$. We give a construction of finite invariant measure $\mu$ absolutely continuous with respect to h-conformal measure for these maps, where where h is the Hausdorff dimension of the Julia set f. We establish the exponential decay of correlations, the Central Limit Theorem, and the Law of Iterated Logarithm with respect to the measure $\mu$. We also prove that $h_\mu(f) < \infty$.
Extent	49 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Dynamical systems and ergodic theory; Classical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Warsaw University of Technology
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-03-25
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343328
URI	http://hdl.handle.net/2429/60997
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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