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math.DS2024
Polynomial convergence rate at infinity for the cusp winding spectrum of generalized Schottky groups
Yuya Arima
We show that the convergence rate of the cusp winding spectrum to the Hausdorff dimension of the limit set of a generalized Schottky group with one parabolic generator is polynomia…
math.DS2024
Higher-dimensional multifractal analysis for the cusp winding process on hyperbolic surfaces
Yuya Arima
We perform a multifractal analysis of the growth rate of the number of cusp windings for the geodesic flow on hyperbolic surfaces with cusps. Our main theorem establishe…