# Large deviation principle for piecewise monotonic maps with density of periodic measures

Date. September 24, 14h00 (UTC/GMT+1)

Speaker  Kenichiro YAMAMOTO (Nagaoka)

Title. Large deviation principle for piecewise monotonic maps with density of periodic measures

Abstract.

We show that a piecewise monotonic map with positive topological entropy satisfies the level-2 large deviation principle with a unique measure of maximal entropy as reference under the conditions that the corresponding Markov diagram is irreducible and that the periodic measures of the map are dense in the set of ergodic measures. This result can apply to a broad class of piecewise monotonicmaps, such as monotonic mod one transformations and piecewise monotonic maps with two monotonic pieces.

Zoom link (session will open some minutes before 14h00):
https://videoconf-colibri.zoom.us/j/89456797656?pwd=aG01UzArQ0kvKzd2alc0YXNGV2VTUT09

Meeting ID: 894 5679 7656

Start Date
Venue
Online seminar

## Speaker

Kenichiro Yamamoto

## Speaker's Institution

Nagaoka University

## Area

Dynamical Systems