28 citations · 132 across the 43 of their papers we have counts for
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Large deviation principle for harmonic/geometric/arithmetic mean of digits in backward continued fraction expansion
Hiroki Takahasi
We establish the (level-1) large deviation principles for three kinds of means associated with the backward continued fraction expansion. We show that: for the harmonic and geometr…
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…
Large deviations for denominators of continued fractions
Hiroki Takahasi
We give an exponential upper bound on the probabilitywith which the denominator of the th convergent in the regular continued fraction expansion stays away from the mean $\frac{…
Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points
Hiroki Takahasi
For a finitely irreducible countable Markov shift and a potential with summable variations, we provide a condition on the associated pressure function which ensures that Bowen's Gi…