Singularities of the Green Function of a Random Walk on a Discrete Group.
Skew products, regular conditional probabilities and stochastic differential equations : a technical remark
Skorohod's spaces
Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
Smallest singular value of sparse random matrices
We extend probability estimates on the smallest singular value of random matrices with independent entries to a class of sparse random matrices. We show that one can relax a previously used condition of uniform boundedness of the variances from below. This allows us to consider matrices with null entries or, more generally, with entries having small variances. Our results do not assume identical distribution of the entries of a random matrix and help to clarify the role of the variances of the entries....
Smoothing metrics for measures on groups
Solution of a Statistical Optimization Problem by Rearrangement Methods.
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.
Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces
Some comments on independent σ-algebras
Some Deviation Inequalities.
Some notes on the convolution semigroup of probabilities on a metric group
Some recent results on the law of the iterated logarithm for Banach space valued random variables
Some remarks about strong proximality of compact flows
This note aims at providing some information about the concept of a strongly proximal compact transformation semigroup. In the affine case, a unified approach to some known results is given. It is also pointed out that a compact flow (X,𝓢) is strongly proximal if (and only if) it is proximal and every point of X has an 𝓢-strongly proximal neighborhood in X. An essential ingredient, in the affine as well as in the nonaffine case, turns out to be the existence of a unique minimal subset.
Some remarks on P. Levy's theorem for a net of discrete measures and the purity law on locally compact semigroups.
Some remarks on the random walk on finite groups
Some results on convergence rates for probabilities of moderate deviations for sums of random variables.
Some results on the continuity of stable processes and the domain of attraction of continuous stable processes
Some results on the convergence of weighted sums of random elements in separable Banach spaces
Some results on the span of families of Banach valued independent, random variables.