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European-Asian Joint Webinar on Dynamical Systems
 
16:00 - 17:30, May 17, 2022 (Tuesday)
Zoom, Online seminar
(線上演講 Zoom)
Uniform Approximation Problems of Expanding Markov Map
Yubin He (Université Paris-Est Créteil Val de Marne)

Abstract

Let be an expanding Markov map of the interval with a finite partition. Let be an invariant Gibbs measure associated with a Hölder continuous potential . In this talk, we investigate the size of the uniform approximation set
 where and. The critical value of such that for is proven to be , where and is the Gibbs measure associated with the potential . Moreover, when  >1/, we show that for -a.e.~, the Hausdorff dimension of agrees with the multifractal spectrum of .

 

 
Meeting Link

https://us02web.zoom.us/j/82058526043?pwd=Z0QzVXZVNDRTRkhJMG4rQ0dlSlkzUT09



 

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