most citedExistence of Large deviations rate function for any -unimodal map

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math.DS2026★ 2 cited

Existence of Large deviations rate function for any -unimodal map

Hiroki Takahasi, Masato Tsujii

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 a…

math.DS2024

Hausdorff dimension of sets with restricted, slowly growing partial quotients in semi-regular continued fractions

Yuto Nakajima, Hiroki Takahasi

We determine the Hausdorff dimension of sets of irrationals in whose partial quotients in semi-regular continued fractions obey certain restrictions and growth conditions.…