Existence of Large deviations rate function for any $S$-unimodal map

Published 21 Aug 2019 in math.DS | (1908.07716v3)

Abstract: For an arbitrary negative Schwarzian unimodal map with non-flat critical point, we establish the level-2 Large Deviation Principle (LDP) for empirical distributions. We also give an example of a multimodal map for which the level-2 LDP does not hold.

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