Common homoclinic points of commuting toral automorphisms

DOI10.1007/BF02785584zbMath0946.22005OpenAlexW1992274307MaRDI QIDQ1969007

Klaus Schmidt, Anthony Manning

Publication date: 22 October 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785584

zbMATH Keywords

irreducible representationhomoclinic pointscompact groupshyperbolic automorphisms\(n\)-torus

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Unitary representations of locally compact groups (22D10)

Cites Work

• First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
• Irrationality of linear combinations of eigenvectors
• Automorphisms of Compact Abelian Groups and Affine Varieties
• Invariant measures for higher-rank hyperbolic abelian actions
• Expansive Subdynamics
• Dynamical systems of algebraic origin

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