On thermodynamics of rational maps on the Riemann sphere

DOI10.1017/S0143385706001003zbMath1122.37036arXivmath/0603507MaRDI QIDQ3594424

Nessim Sibony, Tien-Cuong Dihn, Viêt-Anh Nguyên

Publication date: 8 August 2007

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603507

zbMATH Keywords

spectral gapcentral limit theoremtransfer operator

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodic theorems, spectral theory, Markov operators (37A30) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (1)

Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\)

This page was built for publication: On thermodynamics of rational maps on the Riemann sphere