Transience de certaines chaînes semi-markoviennes
Transience of algebraic varieties in linear groups - applications to generic Zariski density
We study the transience of algebraic varieties in linear groups. In particular, we show that a “non elementary” random walk in escapes exponentially fast from every proper algebraic subvariety. We also treat the case where the random walk takes place in the real points of a semisimple split algebraic group and show such a result for a wide family of random walks.As an application, we prove that generic subgroups (in some sense) of linear groups are Zariski dense.
Transportation Cost for Gaussian and Other Product Measures.
Triangle functions and composition of probability distribution functions.
The equations of left and right distributivity of composition of distribution functions over triangle functions are solved in a restricted domain.
Trivial bundles of spaces of probability measures and countable-dimensionality
The probability measure functor P carries open continuous mappings of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers are infinite. This answers a question raised by V. Fedorchuk.
Two dimensional probabilities with a given conditional structure
A properly measurable set (where are Polish spaces and is the space of Borel probability measures on ) is considered. Given a probability distribution the paper treats the problem of the existence of -valued random vector for which and -almost surely that possesses moreover some other properties such as “ has the maximal possible support” or “’s are extremal...
Two Kinds of Invariance of Full Conditional Probabilities
Let G be a group acting on Ω and ℱ a G-invariant algebra of subsets of Ω. A full conditional probability on ℱ is a function P: ℱ × (ℱ∖{∅}) → [0,1] satisfying the obvious axioms (with only finite additivity). It is weakly G-invariant provided that P(gA|gB) = P(A|B) for all g ∈ G and A,B ∈ ℱ, and strongly G-invariant provided that P(gA|B) = P(A|B) whenever g ∈ G and A ∪ gA ⊆ B. Armstrong (1989) claimed that weak and strong invariance are equivalent, but we shall show that this is false and that weak...
Two Principles for Extending Probability Measures.
Two remarks on the Khintchine-Kahane inequality
Two Theorems on Poisson Measures on a Topological Group.
Two-parameter non-commutative Central Limit Theorem
In 1992, Speicher showed the fundamental fact that the probability measures playing the role of the classical Gaussian in the various non-commutative probability theories (viz. fermionic probability, Voiculescu’s free probability, and -deformed probability of Bożejko and Speicher) all arise as the limits in a generalized Central Limit Theorem. The latter concerns sequences of non-commutative random variables (elements of a -algebra equipped with a state) drawn from an ensemble of pair-wise commuting...
«Type» des espaces normés
Types de répartition complète des suites
Über den Typenkonvergenzsatz auf zusammenhängenden Lie Gruppen.
Über die Summe Markoffscher Ketten auf Halbgruppen.
Über die Summe Markov'scher Ketten auf Halbgruppen.
Über einige mit der Wahrscheinlichkeitstheorie zusammenhängende Probleme der Gruppentheorie.
Über Faltungshalbgruppen von Wahrscheinlichkeitsmaßen II. Einige Klassen topologischer Gruppen.
Un processus de branchement fellerien discernable
Un résultat élémentaire de fiabilité. Application à la formule de Weierstrass sur la fonction gamma