Fisher information and topological pressure

摘要

The relationship between the Fisher information and the topological pressure is explored. The new concept of topological Fisher information is introduced and the relation between the topological pressure and the topological Fisher information is derived. In the special case of expanding maps, a relation between the topological and the dimensional Fisher information is obtained. Relations between the Legendre transforms of the topological and the dimensional Fisher information are also formulated. Published by AIP Publishing.