Skip to main content
    • Aa
    • Aa

Measures of maximal relative entropy

  • KARL PETERSEN (a1), ANTHONY QUAS (a2) and SUJIN SHIN (a3) (a4)

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. However, there is an explicit bound on the number of such maximal entropy preimages.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
Please enter your name
Please enter a valid email address
Who would you like to send this to? *