Rigidity of measures -- the high entropy case and non-commuting foliations
This paper continues the program (started in [the second author and \textit{R. J. Spatzier}, Ergodic Theory Dyn. Syst. 16, 751--778 (1996); correction ibid. 18, 503--507 (1998; Zbl 0859.58021)]) of studying invariant measures for hyperbolic actions of higher rank abelian groups based on the considerations of entropy and conditional measures on invariant foliations. In particular, results on measure rigidity obtained earlier are generalized in the high entropy case. The theory of conditional measures is extended as well.
scientific article; zbMATH DE number 5003409
scientific article