Dynamically defined measures and equilibrium states

Details Dynamically defined measures and equilibrium states Dynamically defined measures and equilibrium states

2011-01-13

arxiv.org/abs/1101.2623v5

J. Math. Phys. 52, 122701 (2011)

Physics

Mathematical Physics

Essentially the same version as published in J. Math. Phys. 52 (2011)

Scientific paper

10.1063/1.3666020

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.

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