Ergodic measures of intermediate entropy for affine transformations of nilmanifolds

DOI10.3934/ERA.2021015zbMath1477.37012OpenAlexW3129730924WikidataQ114022602 ScholiaQ114022602MaRDI QIDQ2046929

Shengnan Xu, Leiye Xu, Wen Huang

Publication date: 19 August 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2021015

zbMATH Keywords

nilmanifoldaffine transformationintermediate entropy

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamics in general topological spaces (37B02)

Cites Work

• Unnamed Item
• Unnamed Item
• Compact group automorphisms, addition formulas and Fuglede-Kadison determinants
• Markov random fields, Markov cocycles and the 3-colored chessboard
• Relative entropy tuples, relative u.p.e. and c.p.e. extensions
• Intrinsic ergodicity of smooth interval maps
• Weak mixing suspension flows over shifts of finite type are universal
• Ergodic universality of some topological dynamical systems
• Topological and almost Borel universality for systems with the weak specification property
• Construction d'un difféomorphisme minimal d'entropie topologique non nulle
• A Relativised Variational Principle for Continuous Transformations
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Dynamical properties of quasihyperbolic toral automorphisms
• Entropy for Group Endomorphisms and Homogeneous Spaces

This page was built for publication: Ergodic measures of intermediate entropy for affine transformations of nilmanifolds