62 citations · 261 across the 37 of their papers we have counts for
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Approximation of stochastic processes by non-expansive flows and coming down from infinity
Vincent Bansaye
We approximate stochastic processes in finite dimension by dynamical systems. We provide trajectorial estimates which are uniform with respect to the initial condition for a well c…
Queuing for an infinite bus line and aging branching process
Vincent Bansaye, Alain Camanes
We study a queueing system with Poisson arrivals on a bus line indexed by integers. The buses move at constant speed to the right and the time of service per customer getting on th…
Some stochastic models for structured populations : scaling limits and long time behavior
Vincent Bansaye, Sylvie Méléard
The first chapter concerns monotype population models. We first study general birth and death processes and we give non-explosion and extinction criteria, moment computations and a…
Speed of coming down from infinity for birth and death processes
Vincent Bansaye, Sylvie Méléard, Mathieu Richard
We finely describe the speed of "coming down from infinity" for birth and death processes which eventually become extinct. Under general assumptions on the birth and death rates, w…