Dynamically defined measures and equilibrium states
Mathematical Physics
2015-06-16 v9 Dynamical Systems
math.MP
Probability
Abstract
A technique of dynamically defined measures is developed and its relation to the theory of equilibrium states is shown. The technique uses Caratheodory's method and the outer measure introduced in (I. Werner, Math. Proc. Camb. Phil. Soc. 140 (2) (2006) 333-347). As an application, equilibrium states for contractive Markov systems (I. Werner, J. London Math. Soc. 71 (2005), no. 1, 236-258) are obtained.
Keywords
Cite
@article{arxiv.1101.2623,
title = {Dynamically defined measures and equilibrium states},
author = {Ivan Werner},
journal= {arXiv preprint arXiv:1101.2623},
year = {2015}
}
Comments
Essentially the same version as published in J. Math. Phys. 52 (2011) plus Erratum and Erratum II