On the probability that two elements of a finite semigroup have the same right matrix
We study the probability that two elements which are selected at random with replacement from a finite semigroup have the same right matrix.
On the random ergodic theorem
On the two definitions of independence
Prime ideals in a semigroup of measures
Principe de dualité pour des espaces de suites associés à une suite de variables aléatoires
Probabilistic approach spaces
We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function. We give a suitable axiom scheme and show that the resulting category is isomorphic to the category of left-continuous probabilistic topological convergence spaces and hence is a topological category. We further show that the category of Lowen's approach spaces is isomorphic to...
Probabilistic convergence structures.
Propriétés d'absolue continuité dans les espaces de Dirichlet et applications aux équations différentielles stochastiques
Quantum stochastic convolution cocycles I
Random Markov Mappings.
Random seminormed spaces
Random walks on co-compact fuchsian groups
It is proved that the Green’s function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence . It is also shown that Ancona’s inequalities extend to , and therefore that the Martin boundary for -potentials coincides with the natural geometric boundary , and that the Martin kernel is uniformly Hölder continuous. Finally, this implies a local limit theorem for the transition probabilities: in the aperiodic case, .
Relative Gleichverteilung in lokalkompakten Räumen.
Renaissance, recollements, mélanges, ralentissement de processus de Markov
Le résultat essentiel du travail est la définition du processus ralenti d’un processus de Ray en ses points de branchement, par un procédé qui transforme ceux-ci en points stables.
Représentation de quasi-ordres et de relations probabilistes transitives sous forme standard et méthodes d'approximation
Second order stochastic processes and the dilation theory in Banach spaces
Simple fractions and linear decomposition of some convolutions of measures
Every characteristic function φ can be written in the following way: φ(ξ) = 1/(h(ξ) + 1), where h(ξ) = ⎧ 1/φ(ξ) - 1 if φ(ξ) ≠ 0 ⎨ ⎩ ∞ if φ(ξ) = 0 This simple remark implies that every characteristic function can be treated as a simple fraction of the function h(ξ). In the paper, we consider a class C(φ) of all characteristic functions of the form , where φ(ξ) is a fixed characteristic function. Using the well known theorem on simple fraction decomposition of rational functions we obtain that convolutions...
Some Borel measures associated with the generalized Collatz mapping
This paper is a continuation of a recent paper [2], in which the authors studied some Markov matrices arising from a mapping T:ℤ → ℤ, which generalizes the famous 3x+1 mapping of Collatz. We extended T to a mapping of the polyadic numbers and construct finitely many ergodic Borel measures on which heuristically explain the limiting frequencies in congruence classes, observed for integer trajectories.
Stable probability measures on Banach spaces
Stationary measures for random walks in a random environment with random scenery.