3 papers
math.PR2019
Fecundity regulation in a spatial birth-and-death process
Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein +2
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density dependent fecundity regulation mechanism.…
math-ph2017
The quenched central limit theorem for a model of random walk in random environment
Viktor Bezborodov, Luca Di Persio
A short proof of the quenched central limit theorem for the random walk in random environment introduced by Boldrighini, Minlos, and Pellegrinotti is given.
math.PR2015
Markov birth-and-death dynamics of populations
Viktor Bezborodov
Spatial birth-and-death processes with a finite number of particles are obtained as unique solutions to certain stochastic equations. Conditions are given for existence and uniquen…