Date. September 24, 14h00 (UTC/GMT+1)
Speaker Kenichiro YAMAMOTO (Nagaoka)
Title. Large deviation principle for piecewise monotonic maps with density of periodic measures
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.
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Meeting ID: 894 5679 7656