Convergence of iterates of Lasota-Mackey-Tyrcha operators
We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.
Convergence of iterative algorithms to common random fixed points of random operators.
Convergence of lattice trees to super-Brownian motion above the critical dimension.
Convergence of local type Dirichlet forms to a non-local type one
Convergence of martingales on manifolds of negative curvature
Convergence of randomly oscillating point patterns to the Poisson point process
Oscillating point patterns are point processes derived from a locally finite set in a finite dimensional space by i.i.d. random oscillation of individual points. An upper and lower bound for the variation distance of the oscillating point pattern from the limit stationary Poisson process is established. As a consequence, the true order of the convergence rate in variation norm for the special case of isotropic Gaussian oscillations applied to the regular cubic net is found. To illustrate these theoretical...
Convergence of sequences of iterates of random-valued vector functions
Given a probability space (Ω,, P) and a closed subset X of a Banach lattice, we consider functions f: X × Ω → X and their iterates defined by f¹(x,ω) = f(x,ω₁), , and obtain theorems on the convergence (a.s. and in L¹) of the sequence (fⁿ(x,·)).
Convergence of simple random walks on random discrete trees to brownian motion on the continuum random tree
In this article it is shown that the brownian motion on the continuum random tree is the scaling limit of the simple random walks on any family of discrete n-vertex ordered graph trees whose search-depth functions converge to the brownian excursion as n→∞. We prove both a quenched version (for typical realisations of the trees) and an annealed version (averaged over all realisations of the trees) of our main result. The assumptions of the article cover the important example of simple random walks...
Convergence of stochastic flows with jumps and Levy processes in diffeomorphisms group
Convergence of stochastic processes [Abstract of thesis]
Convergence of stopped sums of weakly dependent random variables.
Convergence of Submartingales to an Increasing Process under Discretization of Filtrations
Convergence of the -series for stationary sequences.
Convergence of the tail probability for weighted sums of negatively orthant dependent random variables
In this research, strong convergence properties of the tail probability for weighted sums of negatively orthant dependent random variables are discussed. Some sharp theorems for weighted sums of arrays of rowwise negatively orthant dependent random variables are established. These results not only extend the corresponding ones of Cai [4], Wang et al. [19] and Shen [13], but also improve them, respectively.
Convergence of Tight Asymptotic Martingales in a Banach Space.
Convergence of unbounded multivalued supermartingales in the Mosco and slice topologies.
Convergence of values in optimal stopping and convergence of optimal stopping times.
Convergence of weighted linear process for -mixing random variables.
Convergence of weighted sums of independent random variables and an extension to Banach space-valued random variables.
Convergence of weighted sums of random variables and uniform integrability concerning the weights.