On Fixed Points Of Generalized Contractions On Probabilistic Metric Spaces
On fixed points of generalized contractions on probabilistic metric spaces.
On Hausdorff dimension of random fractals.
On heredity of strongly proximal actions
We prove that action of a semigroup on compact metric space by continuous selfmaps is strongly proximal if and only if action on is strongly proximal. As a consequence we prove that affine actions on certain compact convex subsets of finite-dimensional vector spaces are strongly proximal if and only if the action is proximal.
On infinite products of independent random elements on metric semigroups
On Ito-Nisio type theorems for DS-groups.
On Kakutani's Dichotomy Theorem for Infinitive Products of not Necessarily Independent Functions.
On Lévy's Brownian motion indexed by elements of compact groups
We investigate positive definiteness of the Brownian kernel K(x,y) = 1/2(d(x,x₀) + d(y,x₀) - d(x,y)) on a compact group G and in particular for G = SO(n).
On -joint distribution
On m-dimensional stochastic processes in Banach spaces.
In the present paper the authors prove a weak law of large numbers for multidimensional processes of random elements by means of the random weighting. The results obtained generalize those of Padgett and Taylor.
On non-ergodic versions of limit theorems
The author investigates non ergodic versions of several well known limit theorems for strictly stationary processes. In some cases, the assumptions which are given with respect to general invariant measure, guarantee the validity of the theorem with respect to ergodic components of the measure. In other cases, the limit theorem can fail for all ergodic components, while for the original invariant measure it holds.
On Poisson and composed Poisson stochastic set functions
On Probability Function On Pseudo-Boolean Algebra
On Prohorov spaces
On random walks with continuous components.
On relatively uniform convergence of weighted sums of -lattice valued random elements
On shifted convolution powers of a probility measure.
On Skorohod embedding in -dimensional brownian motion by means of natural stopping times
On small deviation probabilities of positive random variables.
On some conjecture concerning Gaussian measures of dilatations of convex symmetric sets
The paper deals with the following conjecture: if μ is a centered Gaussian measure on a Banach space F,λ > 1, K ⊂ F is a convex, symmetric, closed set, P ⊂ F is a symmetric strip, i.e. P = {x ∈ F : |x'(x)| ≤ 1} for some x' ∈ F', such that μ(K) = μ(P) then μ(λK) ≥ μ(λP). We prove that the conjecture is true under the additional assumption that K is "sufficiently symmetric" with respect to μ, in particular it is true when K is a ball in Hilbert space. As an application we give estimates of Gaussian...