On a ratio ergodic theorem
On a relationship between the integrabilities of various maximal functions.
On a series of cosecants related to a problem in ergodic theory
On analytic flows on the torus which are disjoint from systems of probabilistic origin
We describe two methods of obtaining analytic flows on the torus which are disjoint from dynamical systems induced by some classical stationary processes.
On approach regions for the conjugate Poisson integral and singular integrals
Let ũ denote the conjugate Poisson integral of a function . We give conditions on a region Ω so that , the Hilbert transform of f at x, for a.e. x. We also consider more general Calderón-Zygmund singular integrals and give conditions on a set Ω so that is a bounded operator on , 1 < p < ∞, and is weak (1,1).
On axiomatic characterization of entropy of type
On Borel Automorphisms and Their Quasi-Invariant Measures.
On C2-Diffeomorphisms of the Circle which are of Type III1.
On certain solutions of the diophantine equation x-y = p(z)
On certain weighted moving averages and their differentiation analogues.
On continuous actions commutingwith actions of positive entropy
Let F and G be finitely generated groups of polynomial growth with the degrees of polynomial growth d(F) and d(G) respectively. Let be a continuous action of F on a compact metric space X with a positive topological entropy h(S). Then (i) there are no expansive continuous actions of G on X commuting with S if d(G)
On Dimensional Functions and Topological Markov Chains.
On disjointness properties of some smooth flows
Special flows over some locally rigid automorphisms and under L² ceiling functions satisfying a local L² Denjoy-Koksma type inequality are considered. Such flows are proved to be disjoint (in the sense of Furstenberg) from mixing flows and (under some stronger assumption) from weakly mixing flows for which the weak closure of the set of all instances consists of indecomposable Markov operators. As applications we prove that ∙ special flows built over ergodic interval exchange...
On Ergodic Averages for Affine Lattice Actions on Tori.
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 Exact Toral Endomorphisms.
On extremal and perfect σ-algebras for -actions on a Lebesgue space
We show that for every positive integer d there exists a -action and an extremal σ-algebra of it which is not perfect.