The centralizer of Morse shifts
The centralizer of Morse shifts induced by arbitrary blocks
The classification problem in Teoplitz -extensions
The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type
The Horocycle Flow is Mixing of all Degrees.
The law of exponential decay for expanding mappings
The rotation number of some transformation related to billiards in an ellipse
The sequence entropy for Morse shifts and some counterexamples
The Stein-Weiss theorem for the ergodic Hilbert transform
The Stein-Weiss theorem that the distribution function of the Hilbert transform of the characteristic function of E depends only on the measure of E is generalized for the ergodic Hilbert transform in the case of a one-parameter flow of measure-preserving transformations on a σ-finite measure space.
Théorèmes ergodiques pour des mesures diagonales
Toeplitz flows with pure point spectrum
We construct strictly ergodic 0-1 Toeplitz flows with pure point spectrum and irrational eigenvalues. It is also shown that the property of being regular is not a measure-theoretic invariant for strictly ergodic Toeplitz flows.