Ergodic sequences of probability measures on commutative hypergroups.

Pavel, Liliana

Displaying similar documents to “Ergodic sequences of probability measures on commutative hypergroups.”

On functions with scattered spectra on lea groups

Paweł Głowacki (1981)

Studia Mathematica

Similarity:

Ergodic States in a Non Commutative Ergodic Theory

S. Doplicher, D. Kastler (1968)

Recherche Coopérative sur Programme n°25

Similarity:

Weak almost periodicity of $L_{1}$ contractions and coboundaries of non-singular transformations

Isaac Kornfeld, Michael Lin (2000)

Studia Mathematica

Similarity:

It is well known that a weakly almost periodic operator T in a Banach space is mean ergodic, and in the complex case, also λT is mean ergodic for every |λ|=1. We prove that a positive contraction on $L_{1}$ is weakly almost periodic if (and only if) it is mean ergodic. An example shows that without positivity the result is false. In order to construct a contraction T on a complex $L_{1}$ such that λT is mean ergodic whenever |λ|=1, but T is not weakly almost periodic, we prove the following: Let...

Ergodic elements of ergodic actions

Charles Pugh, Michael Shub (1971)

Compositio Mathematica

Similarity:

On the sequence of integer parts of a good sequence for the ergodic theorem

Emmanuel Lesigne (1995)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

If $(u_{n})$ is a sequence of real numbers which is good for the ergodic theorem, is the sequence of the integer parts $([u_{n}])$ good for the ergodic theorem ? The answer is negative for the mean ergodic theorem and affirmative for the pointwise ergodic theorem.

Korovkin sets and mean ergodic theorems.

Nishishiraho, Toshihiko (1998)

Journal of Convex Analysis

Similarity:

An analog of the Marcinkiewicz integral in ergodic theory

Roger Jones (1980)

Studia Mathematica

Similarity:

On non-ergodic versions of limit theorems

Dalibor Volný (1989)

Aplikace matematiky

Similarity:

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.