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Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps
Kostiantyn Drach, Zhi Fu, Vadim Kaloshin +2
For a smooth expanding circle map, we show that the empirical distribution of Lyapunov exponents of periodic points of any fixed period is close to normal, with an error that decre…
Unmarked spectral rigidity of expanding circle maps
Kostiantyn Drach, Vadim Kaloshin
For a smooth expanding map of the circle, its (unmarked) length spectrum is defined as the set of logarithms of multipliers of periodic orbits of . This spectrum is analogou…
A solution to Bezdek's conjecture
Kostiantyn Drach, Kateryna Tatarko
For a given , a convex body in is -convex if it is the intersection of (finitely or infinitely many) balls of radius . In this note, we show that among a…
Rigidity of bounded-type Siegel polynomials
Kostiantyn Drach, Jonguk Yang
We establish rigidity for a class of higher-degree complex polynomials with irrationally indifferent dynamics. Specifically, we consider non-renormalizable (in the sense of Douady…