4 papers
Limit theorems for random Dirichlet series
Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1
We prove a functional limit theorem in a space of analytic functions for the random Dirichlet series , properly scaled and nor…
Critical branching processes in random environment and Cauchy domain of attraction
Congzao Dong, Charline Smadi, Vladimir A. Vatutin
We are interested in the survival probability of a population modeled by a critical branching process in an i.i.d. random environment. We assume that the random walk associated wit…
Weak convergence of random processes with immigration at random times
Congzao Dong, Alexander Iksanov
By a random process with immigration at random times we mean a shot noise process with a random response function (response process) in which shots occur at arbitrary random times.…
Superprocesses over a stochastic flow with spatially dependent branching
Congzao Dong
We show the existence of superprocesses in a random medium with location dependent branching. Technically, we make use of a duality relation to establish the uniqueness of the mart…