Geodesic
Measure-theoretic pressure for amenable group actions
Yun Zhao1
1 Department of Mathematics Soochow University Suzhou 215006, China
Colloquium Mathematicum, Tome 148 (2017) no. 1, pp. 87-106.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper defines measure-theoretic pressure for an amenable group action by using spanning sets, and shows that the measure-theoretic pressure of an ergodic measure can be described in terms of metric entropy and an integral of the observable associated with the ergodic measure. Using the theory of Carathéodory structure, we give an equivalent definition of measure-theoretic pressure for amenable group actions, and obtain an inverse variational principle, i.e., the topological pressure on a certain set is exactly the measure-theoretic pressure of an ergodic measure.
DOI : 10.4064/cm6784-6-2016
Keywords: paper defines measure theoretic pressure amenable group action using spanning sets shows measure theoretic pressure ergodic measure described terms metric entropy integral observable associated ergodic measure using theory carath odory structure equivalent definition measure theoretic pressure amenable group actions obtain inverse variational principle topological pressure certain set exactly measure theoretic pressure ergodic measure

Yun Zhao 1

1 Department of Mathematics Soochow University Suzhou 215006, China 
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Yun Zhao. Measure-theoretic pressure for amenable group actions. Colloquium Mathematicum, Tome 148 (2017) no. 1, pp. 87-106. doi : 10.4064/cm6784-6-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6784-6-2016/

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