Smooth Non-Bernoulli K-Automorphisms.
Some constructions of strictly ergodic non-regular Toeplitz flows
We give a necessary and sufficient condition for a Toeplitz flow to be strictly ergodic. Next we show that the regularity of a Toeplitz flow is not a topological invariant and define the "eventual regularity" as a sequence; its behavior at infinity is topologically invariant. A relation between regularity and topological entropy is given. Finally, we construct strictly ergodic Toeplitz flows with "good" cyclic approximation and non-discrete spectrum.
Spectral properties of G-symbolic Morse shifts
ß-Shifts Have Unique Maximal Measure.
Statistical periodicity of deterministic systems
Stochastic behavior above Feigenbaum's parameter value
Subadditive maximal ergodic theorem
Support as an invariant for dynamical systems
Sur un théorème ergodique pour des mesures diagonales
Systèmes localement de rang un
Systems of finite rank
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.