arXiv subjects

Sujin Shin

Publications and source records attributed to Sujin Shin.

2 recordsLinked to original sources

arXiv2004

A comment on the definition of relative pressure

We show that two natural definitions of the relative pressure function for a locally constant potential function and a factor map from a shift of finite type coincide almost everywhere with respect to every invariant measure. With a suitable extension of one of the definitions, the same holds true for any continuous potential function.

math.DS↗

arXiv2002

Measures of maximal relative entropy

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

math.DS↗