Natural definition of entropy of semigroups
On concentrated probabilities
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 such that 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 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
Let be a Polish group with an invariant metric. We characterize those probability measures on so that there exist a sequence and a compact set with for all .
On some minimal transformations of compact spaces
On strong mixing and weak convergence for groups of operators
On Subadditive Processes on Direct Product of Countable Amenable Groups
On the algebraic hull of an automorphism group of a principal bundle.
On the Cohomology of a Hyperfine Action.
On the S-Euclidean minimum of an ideal class
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
Poisson boundary of triangular matrices in a number field
The aim of this note is to describe the Poisson boundary of the group of invertible triangular matrices with coefficients in a number field. It generalizes to any dimension and to any number field a result of Brofferio concerning the Poisson boundary of random rational affinities.
Remarks on random walks on semi simple Lie groups
Rescaling of Markov shifts.
Résolution d'une équation fonctionnelle
RIC-расширения и структура расширений минимальных полугрупп преобразований
Rigidity and cocycles for ergodic actions of semi-simple Lie groups
Rigidity of Furstenberg entropy for semisimple Lie group actions
Rigidity of some translations on homogeneous spaces.
Siegel measures.
Some Results on Affine Transformations of Compact Groups.