On a rarefied renewal process
On coincidences in renewal streams
On fully coupled continuous time random walks
Continuous time random walks with jump sizes equal to the corresponding waiting times for jumps are considered. Sufficient conditions for the weak convergence of such processes are established and the limiting processes are identified. Furthermore one-dimensional distributions of the limiting processes are given under an additional assumption.
On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process
On moments for branching processes
On quenched and annealed critical curves of random pinning model with finite range correlations
This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a -order moving average and show that the critical curve of the annealed model can be expressed in terms of the Perron–Frobenius eigenvalue of an explicit transfer matrix, which generalizes the annealed bound of the critical curve for i.i.d. disorder. We provide explicit values of the annealed critical curve for and and a weak disorder asymptotic in the general case....
On the extreme gap in the renewal process
On the level crossing of multi-dimensional delayed renewal processes.
On the non-equivalence of two criteria of comparability of stationary point processes
On the Taylor coefficients of the composition of two analytic functions.
On truncations for weakly ergodic inhomogeneous birth and death processes