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math.PR2014
Fluctuation Limits of a locally regulated population and generalized Langevin equations
Mladen Savov, Shidong Wang
We consider a locally regulated spatial population model introduced by Bolker and Pacala. Based on the deterministic approximation studied by Fournier and Méléard, we prove that th…
math.PR2014
Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case
Martin Kolb, Mladen Savov
In this work we consider a one-dimensional Brownian motion with constant drift moving among a Poissonian cloud of obstacles. Our main result proves convergence of the law of proces…