On Ergodic Flows and the Isomorphism of Factors.
On Ergodic Properties of Inner Functions.
On ergodic singular integral operators
On Ergodic Theory of A. Schmidt's Complex Continued Fractions over Gaussian Field.
On Fréchet theorem in the set of measure preserving functions over the unit interval.
On functions with bounded remainder
Let be a von Neumann-Kakutani - adic adding machine transformation and let . PutWe study three questions:1. When will be bounded?2. What can be said about limit points of 3. When will the skew product be ergodic on
On group extensions of 2-fold simple ergodic actions
Compact group extensions of 2-fold simple actions of locally compact second countable amenable groups are considered. It is shown what the elements of the centralizer of such a system look like. It is also proved that each factor of such a system is determined by a compact subgroup in the centralizer of a normal factor.
On invariant functions for positive operators
On invariant measures for piecewise -transformations of the n-dimensional cube
On invariant measures for piecewise convex transformations
On invariant measures for some infinite-dimensional dynamical systems
On mappings isomorphic to r-adic transformations
On Marginal Distributions and Isomorphisms of Stationary Processes.
On metric isomorphism of Morse dynamical systems
On metric properties of substitutions
On mixing transformations.
On non-ergodic versions of limit theorems
The author investigates non ergodic versions of several well known limit theorems for strictly stationary processes. In some cases, the assumptions which are given with respect to general invariant measure, guarantee the validity of the theorem with respect to ergodic components of the measure. In other cases, the limit theorem can fail for all ergodic components, while for the original invariant measure it holds.
On nonmeasurable selectors of countable group actions
Given a set X, a countable group H acting on it and a σ-finite H-invariant measure m on X, we study conditions which imply that each selector of H-orbits is nonmeasurable with respect to any H-invariant extension of m.
On nonmeasurable subgroups of the real line.
On pointwise ergodic theorems for positive operators