On Invariant Measures, Minimal Sets and a Lemma of Margulies.
On mappings isomorphic to r-adic transformations
On Marginal Distributions and Isomorphisms of Stationary Processes.
On measure-preserving transformations and doubly stationary symmetric stable processes
In a 1987 paper, Cambanis, Hardin and Weron defined doubly stationary stable processes as those stable processes which have a spectral representation which is itself stationary, and they gave an example of a stationary symmetric stable process which they claimed was not doubly stationary. Here we show that their process actually had a moving average representation, and hence was doubly stationary. We also characterize doubly stationary processes in terms of measure-preserving regular set isomorphisms...
On metric diophantine approximation and subsequence ergodic theory.
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 Obtaining a Stationary Process Isomorphic to a Given Process with a Desired Distribution.
On pointwise ergodic theorems for positive operators
On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II
On Quasi-Invariant Measures in Uniquely Ergodic Systems.
On regular generator of Z²-actions in exhaustive partitions
On Regularities of the Distribution of Special Sequences.
On Riemann Sums and Lebesgue Integrals.
On Rudolph's representation of aperiodic flows
On semigroups of -endomorphisms