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arXiv · 1908.07716

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

Hiroki Takahasi·Masato Tsujii
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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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Hiroki Takahasi, Masato Tsujii. 2019-08-21. Existence of Large deviations rate function for any $S$-unimodal map. https://arxiv.org/abs/1908.07716

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