A generalization of the mean ergodic theorem
A generalized skew product
A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
A half-commutative IP Roth theorem.
A Horseshoe with Positive Measure.
A joint limit theorem for compactly regenerative ergodic transformations
We study conservative ergodic infinite measure preserving transformations satisfying a compact regeneration property introduced by the second-named author in J. Anal. Math. 103 (2007). Assuming regular variation of the wandering rate, we clarify the asymptotic distributional behaviour of the random vector (Zₙ,Sₙ), where Zₙ and Sₙ are respectively the time of the last visit before time n to, and the occupation time of, a suitable set Y of finite measure.
A large set containing few orbits of measure preserving transformations.
A large set containing few orbits of measure preserving transformations. (Summary).
A limit theorem for the q-convolution
The q-convolution is a measure-preserving transformation which originates from non-commutative probability, but can also be treated as a one-parameter deformation of the classical convolution. We show that its commutative aspect is further certified by the fact that the q-convolution satisfies all of the conditions of the generalized convolution (in the sense of Urbanik). The last condition of Urbanik's definition, the law of large numbers, is the crucial part to be proved and the non-commutative...
A local approach to -entropy
In this paper, a local approach to the concept of -entropy is presented. Applying the Choquet‘s representation Theorem, the introduced concept is stated in terms of -entropy.
A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II. Applications
A locally commutative free group acting on the plane
The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
A method of construction of an invariant measure
A method of construction of an invariant measure on a function space is presented.
A method of solving a cocycle functional equation and applications
A "Minimal", Non-Uniquely Ergodic Interval Exchange Transformation.
A mixing dynamical system on the Cantor set.
A Mixing T for which T - T... Is Bernoulli.
A Multiparameter Strongly Superadditive Ergodic Theorem.
A new class of Ornstein transformations with singular spectrum
A new model of the ergodic transformations