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On concentrated probabilities

Wojciech Bartoszek (1995)

Annales Polonici Mathematici

Let G be a locally compact Polish group with an invariant metric. We provide sufficient and necessary conditions for the existence of a compact set A ⊆ G and a sequence $g_{n} \in G$ such that $μ^{* n} (g_{n} A) \equiv 1$ for all n. It is noticed that such measures μ form a meager subset of all probabilities on G in the weak measure topology. If for some k the convolution power $μ^{* k}$ has nontrivial absolutely continuous component then a similar characterization is obtained for any locally compact, σ-compact, unimodular, Hausdorff topological...

On concentrated probabilities on non locally compact groups

Wojciech Bartoszek (1996)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a Polish group with an invariant metric. We characterize those probability measures $μ$ on $G$ so that there exist a sequence $g_{n} \in G$ and a compact set $A \subseteq G$ with $μ^{* n} (g_{n} A) \equiv 1$ for all $n$ .

On some minimal transformations of compact spaces

Wojciech Hyb (1978)

Colloquium Mathematicae

On strong mixing and weak convergence for groups of operators

Iwanik, A. (1978)

Abstracta. 6th Winter School on Abstract Analysis

On Subadditive Processes on Direct Product of Countable Amenable Groups

Seyit Temir (2002)

Publications de l'Institut Mathématique

On the algebraic hull of an automorphism group of a principal bundle.

Robert J. Zimmer (1990)

Commentarii mathematici Helvetici

On the Cohomology of a Hyperfine Action.

K. Schmidt, K.R. Parthasarathy (1977)

Monatshefte für Mathematik

On the S-Euclidean minimum of an ideal class

Kevin J. McGown (2015)

Acta Arithmetica

We show that the S-Euclidean minimum of an ideal class is a rational number, generalizing a result of Cerri. In the proof, we actually obtain a slight refinement of this and give some corollaries which explain the relationship of our results with Lenstra's notion of a norm-Euclidean ideal class and the conjecture of Barnes and Swinnerton-Dyer on quadratic forms. In particular, we resolve a conjecture of Lenstra except when the S-units have rank one. The proof is self-contained but uses ideas from...

On the Wiener-Eberlein theorem

W. Eberlein (1984)

Studia Mathematica

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