Existence of Large deviations rate function for any $S$-unimodal map
Dynamical Systems
2026-03-18 v5
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.
Keywords
Cite
@article{arxiv.1908.07716,
title = {Existence of Large deviations rate function for any $S$-unimodal map},
author = {Hiroki Takahasi and Masato Tsujii},
journal= {arXiv preprint arXiv:1908.07716},
year = {2026}
}
Comments
47 pages, 2 figures, to appear in Ergodic Theory and Dynamical Systems