Zoom, Online seminar
(線上演講 Zoom)
Uniform Approximation Problems of Expanding Markov Map
Yubin He (South China University of Technology)
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