On a Bernoulli Property of some Piecewise C2-Diffeomorphisms in ...d.
On a function that realizes the maximal spectral type
We show that for a unitary operator U on , where X is a compact manifold of class , , and μ is a finite Borel measure on X, there exists a function that realizes the maximal spectral type of U.
On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure.
On a local ergodic theorem
On a nonstandard approach to invariant measures for Markov operators
We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.
On A Paper Of Saha And Ray
On a pointwise ergodic theorem for multiparameter semigroups.
Let Ti (i = 1, 2, ..., d) be commuting null preserving transformations on a finite measure space (X, F, μ) and let 1 ≤ p < ∞. In this paper we prove that for every f ∈ Lp(μ) the averagesAnf(x) = (n + 1)-d Σ0≤ni≤n f(T1n1T2n2 ... Tdnd x)converge a.e. on X if and only if there exists a finite invariant measure ν (under the transformations Ti) absolutely continuous with respect to μ and a sequence {XN} of invariant sets with XN ↑ X such that νB > 0 for all nonnull invariant sets B and...
On a problem of R. C. Baker
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 Borel Automorphisms and Their Quasi-Invariant Measures.
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 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.