期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2021; 26 ()
In this paper, we study the small-time asymptotic behavior of the Kingman coalescent. We obtain the Berry-Esseen bound and the Edgeworth expansion in ......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2021; 26 ()
Using Foster-Lyapunov techniques we establish new conditions on non-extinction, non-explosion, coming down from infinity and staying infinite, respect......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2021; 26 ()
Given any delta is an element of (0, infinity), let (X-n)(n=0)(infinity) be the delta-once reinforced random walk on ladder Z x {0, 1} with the follow......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2020; 25 ()
In this article, we provide a sufficient condition for a continuous-state branching process with immigration (CBI process) to not hit its boundary, i.......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
We consider exclusion processes on a rooted d-regular tree. We start from a Bernoulli product measure conditioned on having a particle at the root, wh......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
Let mu be a compactly supported probability measure on the positive half-line and let mu(boxed times t) be the free multiplicative convolution semigro......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
We consider a discrete-time branching random walk in a stationary and ergodic environment xi = (xi(n)) indexed by time n is an element of N. Let W-n(z......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
We investigate the relation to random configurations and combinatorial maps of the Eulerian networks defined by Poissonian emsembles of Markov loops.
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
In this short note we study the asymptotic behaviour of the minima over compact intervals of Gaussian processes, whose paths are not necessarily smoot......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
In [8], the existence of the solution is proved for a scalar linearly growing backward stochastic differential equation (BSDE) when the terminal value......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
Let X be an mu-symmetric irreducible Markov process on I with strong Feller property. In addition, we assume that X possesses a tightness property. In......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2019; 24 ()
We consider a random walk with catastrophes which was introduced to model population biology. It is known that this Markov chain gets eventually absor......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2018; 23 ()
For any discrete target distribution, we exploit the connection between Markov chains and Stein's method via the generator approach and express the so......
期刊： ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2018; 23 ()
Let X-1, ... ,X-mN be independent random matrices of order N drawn from the polynomial ensembles of derivative type. For any fixed n, we consider the ......
