On the stability of cubic mappings and quadratic mappings in random normed spaces.
On the stability of interacting processes with applications to filtering and genetic algorithms
On the stability of nonlinear Feynman-Kac semigroups
On the stability of stationary solutions of a linear integro-differential equation.
On the stabilization of the energy of a harmonic oscillator disturbed by random processes of the “white and shot noises” types.
On the stochastic regularity of sequence transformations operating in a Banach space
On the strong Brillinger-mixing property of -determinantal point processes and some applications
First, we derive a representation formula for all cumulant density functions in terms of the non-negative definite kernel function defining an -determinantal point process (DPP). Assuming absolute integrability of the function , we show that a stationary -DPP with kernel function is “strongly” Brillinger-mixing, implying, among others, that its tail--field is trivial. Second, we use this mixing property to prove rates of normal convergence for shot-noise processes and sketch some applications...
On the strong convergence for weighted sums of asymptotically almost negatively associated random variables
Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
On the strong convergence to equilibrium for randomly perturbed dynamical systems
On the strong law for arrays and for the bootstrap mean and variance.
On the strong law of large numbers for -dimensional arrays of random variables.
On the strong law of large numbers on some ordered structures
On the strong laws for weighted sums of -mixing random variables.
On the structure of intuitionistic algebras with relational probabilities.
Trillas ([1]) has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.
On the structure of monoids of admissible translates of probability measures.
On the Structure of Spatial Branching Processes
The paper is a contribution to the theory of branching processes with discrete time and a general phase space in the sense of [2]. We characterize the class of regular, i.e. in a sense sufficiently random, branching processes (Φk) k∈Z by almost sure properties of their realizations without making any assumptions about stationarity or existence of moments. This enables us to classify the clans of (Φk) into the regular part and the completely non-regular part. It turns out that the completely non-regular branching...
On the structure of subordinate semigroups.
On the sum of two Brownian paths
On the Support of the Measures in a Symmetric Convolution Semigroup.
On the supports and absolute continuity of infinitely divisible probability measures.