Topological Pressure for One-Dimensional Holomorphic Dynamical Systems

Katrin Gelfert, and Christian Wolf. "Topological Pressure for One-Dimensional Holomorphic Dynamical Systems." Bulletin of the Polish Academy of Sciences. Mathematics 55.1 (2007): 53-62. <http://eudml.org/doc/280513>.

@article{KatrinGelfert2007,
abstract = {For a class of one-dimensional holomorphic maps f of the Riemann sphere we prove that for a wide class of potentials φ the topological pressure is entirely determined by the values of φ on the repelling periodic points of f. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.},
author = {Katrin Gelfert, Christian Wolf},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {topological pressure; rational maps; holomorphic dynamics; repelling periodic points; invariant measures},
language = {eng},
number = {1},
pages = {53-62},
title = {Topological Pressure for One-Dimensional Holomorphic Dynamical Systems},
url = {http://eudml.org/doc/280513},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Katrin Gelfert
AU - Christian Wolf
TI - Topological Pressure for One-Dimensional Holomorphic Dynamical Systems
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 1
SP - 53
EP - 62
AB - For a class of one-dimensional holomorphic maps f of the Riemann sphere we prove that for a wide class of potentials φ the topological pressure is entirely determined by the values of φ on the repelling periodic points of f. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.
LA - eng
KW - topological pressure; rational maps; holomorphic dynamics; repelling periodic points; invariant measures
UR - http://eudml.org/doc/280513
ER -