Consider a time-inhomogeneous branching random walk,generated by the point process Ln which composed by two independent parts:'branching'offspring Xn with the m
We study a class of diffusion processes,which are determined by solutions X(t)to stochastic functional differential equation with infinite memory and random swi
This paper concentrates on considering the down/up crossing property of weighted Markov collision processes.The joint probability generating function of down cr
We investigate Hoeffding's inequality for both discrete-time Markov chains and continuous-time Markov processes on a general state space.Our results relax the u
We give a two sided estimate on the spectral gap for the Boltzmann measures μh on the circle.We prove that the spectral gap is greater than 1 for any h∈R and