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Entropy spectrum of rotation classes
Yan Mary He, Christian Wolf
In this note we study the entropy spectrum of rotation classes for collections of finitely many continuous potentials with respect to the set of inv…
A Riemannian metric on polynomial hyperbolic components
Yan Mary He, Hongming Nie
We introduce a Riemannian metric on certain hyperbolic components in the moduli space of degree polynomials. Our metric is constructed by considering the measure-theoreti…
Prime number theorems for Basmajian-type identities
Yan Mary He
We obtain asymptotic counting results with error terms for complex orthospectrum for Schottky groups and orbit counting function for quadratic polynomials. Moreover, we prove equid…
Basmajian-type identities and Hausdorff dimension of limit sets
Yan Mary He
In this paper, we study Basmajian-type series identities on holomorphic families of Cantor sets associated to one-dimensional complex dynamical systems. We show that the series is…