Establishes the level-2 large deviation principle for unimodal maps, indicating important properties of their distributions.
For an arbitrary negative Schwarzian unimodal map with a non-flat critical point, we establish the level-2 large deviation principle for empirical distributions. We also give an example of a bimodal map for which the level-2 large deviation principle does not hold.
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Takahasi et al. (2026) studied this question.
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