2 papers
math.DS2025
Analyticity of the Hausdorff dimension and metric structures on Misiurewicz families of polynomials
Fabrizio Bianchi, Yan Mary He
Consider a holomorphic family of polynomial maps on with the property that a critical point of is persistently preperiodic to a repelling per…
math.DS2025
Manhattan curves in complex dynamics and asymptotic correlation of multiplier spectra
Fabrizio Bianchi, Yan Mary He
The Manhattan curve for a pair of hyperbolic structures (possibly with cusps) on a given surface is a geometric object that encodes the growth rate of lengths of closed geodesics w…