On self-similarity and stationary problem for fragmentation and coagulation models
On small solutions of second order differential equations with random coefficients
We consider the equation where is a given increasing sequence of positive numbers, and is chosen at random so that are totally independent random variables uniformly distributed on interval . We determine the probability of the event that all solutions of the equation tend to zero as .
On Solutions to Stochastic Differential Equations with Discontinuous Drift in Hilbert Space.
On some degenerate large deviation problems.
On some length biased inequalities for reliability measures.
On some limit properties of the reward from a Markov replacement process
On some properties of J-convex stochastic processes.
On some properties of the Lüroth-type alternating series representations for real numbers.
On some queue length controlled stochastic processes.
On system reliability under random load of elements
On the approach to equilibrium for a polymer with adsorption and repulsion.
On the behavior of LIFO preemptive resume queues in heavy traffic.
On the busy period for the M|G|1 queue with-finite waiting room
On the calculation of steady-state loss probabilities in the queue.
On the concept of the asymptotic Rényi distances for random fields
The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.
On the convergence of sequences of iterates of random-valued functions.
On the convergence of stochastic integrals driven by processes converging on account of a homogenization property.
On the core property of the cylinder functions class in the construction of interacting particle systems
For general interacting particle systems in the sense of Liggett, it is proven that the class of cylinder functions forms a core for the associated Markov generator. It is argued that this result cannot be concluded by straightforwardly generalizing the standard proof technique that is applied when constructing interacting particle systems from their Markov pregenerators.
On the domination of a random walk on a discrete cylinder by random interlacements.
On the duality between coalescing Brownian particles and the heat equation driven by Fisher-Wright noise.