Concave unimodal maps have no majorisation relations between their ergodic measures

DOI10.1090/S0002-9939-2010-10705-0zbMath1243.37033MaRDI QIDQ5200180

Jacob Steel

Publication date: 1 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

invariant measureergodic measurepartial ordering of probability measures

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Ergodic optimization in dynamical systems

Cites Work

• A partial order on \(\times 2\)-invariant measures
• The fish has no bones
• Ergodic optimization
• On the barycenter of the tent map
• Majorization of invariant measures for orientation-reversing maps
• Optimization and majorization of invariant measures
• Ordered orbits of the shift, square roots, and the devil's staircase
• BALANCED WORDS AND MAJORIZATION

This page was built for publication: Concave unimodal maps have no majorisation relations between their ergodic measures