Date:
Tue, 08/04/202512:00-13:00
HUJI Dynamics Lunch
Title: Central limit theory for processes generated by interval maps via spectral gap methods
Abstract: It was noticed in the 30's by Doeblin & Fortet that Markov
chains with "complete connections"
act quasi-compactly on the Lipschitz functions. These are operators
like the transfer operators of certain interval maps (e.g. the Gauss map).
The "Guivarch-Nagaev" method enables "classical central limit theory"
via spectral methods.
I'll try to explain some of this. No background will be assumed
(although this is a continuation of a talk in 2017).
Title: Central limit theory for processes generated by interval maps via spectral gap methods
Abstract: It was noticed in the 30's by Doeblin & Fortet that Markov
chains with "complete connections"
act quasi-compactly on the Lipschitz functions. These are operators
like the transfer operators of certain interval maps (e.g. the Gauss map).
The "Guivarch-Nagaev" method enables "classical central limit theory"
via spectral methods.
I'll try to explain some of this. No background will be assumed
(although this is a continuation of a talk in 2017).