Invariant Measures and Functional Equations
Invariant measures for a diffeomorphism which expands the leaves of a foliation
Invariant measures on abelian metric groups
Invariant measures on locally compact spaces and a topological characterization of unimodular Lie groups
-continuous partitions of unity on normed spaces
Lois indéfiniment divisibles et théorèmes de Ito-Nisio et Yuriskii
Measures on groups with given projections
Mesure de Haar en analyse non-standard
Mesures de Haar et -couple d’un groupoïde mesuré
Mesures généralisées invariantes
Mixtures of invariant non-ergodic probabilities
Moyennes invariantes s'annulant sur des idéaux
Non-amenable groups with amenable action and some paradoxical decompositions in the plane
Non-archimedean (uniformly) continuous measures on homogeneous spaces
Non-locally compact Polish groups and two-sided translates of open sets
This paper is devoted to the following question. Suppose that a Polish group G has the property that some non-empty open subset U is covered by finitely many two-sided translates of every other non-empty open subset of G. Is then G necessarily locally compact? Polish groups which do not have the above property are called strongly non-locally compact. We characterize strongly non-locally compact Polish subgroups of in terms of group actions, and prove that certain natural classes of non-locally...
On a Schröder equation arising in branching processes.
On Beurling measure algebras
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On Borel Automorphisms and Their Quasi-Invariant Measures.
On certain regularity properties of Haar-null sets
Let X be an abelian Polish group. For every analytic Haar-null set A ⊆ X let T(A) be the set of test measures of A. We show that T(A) is always dense and co-analytic in P(X). We prove that if A is compact then T(A) is dense, while if A is non-meager then T(A) is meager. We also strengthen a result of Solecki and we show that for every analytic Haar-null set A, there exists a Borel Haar-null set B ⊇ A such that T(A)∖ T(B) is meager. Finally, under Martin’s Axiom and the negation of Continuum Hypothesis,...
On convolution products of radial measures on the Heisenberg group