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math.DS2004
Symbolic representations of nonexpansive group automorphisms
Elon Lindenstrauss, Klaus Schmidt
If is an irreducible nonexpansive ergodic automorphism of a compact abelian group (such as an irreducible nonhyperbolic ergodic toral automorphism), then has no finite…
math.DS2004★ 2 cited
Rigidity of multiparameter actions
Elon Lindenstrauss
We survey some recent developments and applications of the study of the rigidity properties of natural algebraic actions of multidimensional abelian groups.
math.DS2003
Invariant sets and measures of nonexpansive group automorphisms
Elon Lindenstrauss, Klaus Schmidt
We prove that the restriction of a probability measure invariant under a nonhyperbolic, ergodic and totally irreducible automorphism of a compact connected abelian group to the lea…