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.
Weighted ergodic theorems for weakly mixing transformation groups.
In this paper we characterize weakly mixing transformation groups in terms of weighted ergodic theorems.
Which moments of a logarithmic derivative imply quasiinvariance.
α-Equivalence
We define the α - relations between discrete systems and between continuous systems. We show that it is an equivalence relation. α- Equivalence vs. even α-equivalence is analogous to Kakutani equivalence vs. even Kakutani equivalence.
Потоки на компактных разрешимых многообразиях
Цепная рекуррентность в дисперсных динамических системах. II