Contents Online
Mathematical Research Letters
Volume 30 (2023)
Number 3
A Riemannian metric on hyperbolic components
Pages: 733 – 764
DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n3.a6
Authors
Abstract
We introduce a Riemannian metric on certain hyperbolic components in the moduli space of degree at least $2$ rational maps in one complex variable. Our metric is constructed by considering the measure-theoretic entropy of a rational map with respect to some equilibrium state.
The second author was partially supported by ISF Grant 1226/17 and by CONICYT PIA ACT172001.
Received 3 April 2020
Received revised 16 September 2022
Accepted 17 December 2022
Published 15 December 2023