Irrational Rotations and Quasi-Ergodic Measures
Transience of Random Walks on Nilpotent Groups
Ergodicité d'un flot cylindrique
Mixing Properties of Substitutions
Residuality of dynamical morphisms
We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.
Ergodic invariant measures for actions of SL(2, Z)
Finitary orbit equivalence and measured Bratteli diagrams
We prove a strengthened version of Dye's theorem on orbit equivalence, showing that if the transformation structures are represented as finite coordinate change equivalence relations of ergodic measured Bratteli diagrams, then there is a finitary orbit equivalence between these diagrams.
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