On a Bernoulli Property of some Piecewise C2-Diffeomorphisms in ...d.
On a class of Monge-Ampére problems with non-homogeneous Dirichlet boundary condition.
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 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)