Measures of maximal relative entropy

Details Measures of maximal relative entropy Measures of maximal relative entropy

2002-03-07

arxiv.org/abs/math/0203072v1

Erg. Th. Dyn. Sys. 23 (2003), 207-223.

Mathematics

Dynamical Systems

22 pages. (To appear in Erg. Th. Dyn. Sys.)

Scientific paper

Given an irreducible subshift of finite type X, a subshift Y, a factor map
\pi : X \to Y, and an ergodic invariant measure \nu on Y, there can exist more
than one ergodic measure on X which projects to \nu and has maximal entropy
among all measures in the fiber, but there is an explicit bound on the number
of such maximal entropy preimages.

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