12 citations · 12 across the 3 of their papers we have counts for
5 papers
Functional law of large numbers and central limit theorem for Crump-Mode-Jagers branching processes
Ibrahima Dramé, Etienne Pardoux
We establish a Law of Large Numbers and a Central Limit Theorem for a class of Crump Mode Jagers continuous time branching processes, where the birth rate is age dependent, and als…
Uniqueness of the solution of the filtering equations in spaces of measures
Dan Crisan, Etienne Pardoux
Nonlinear filtering is a pivotal problem that has attracted significant attention from mathematicians, statisticians, engineers, and various other scientific disciplines. The solut…
From Brownian motion with a local time drift to Feller's branching diffusion with logistic growth
Etienne Pardoux, Anton Wakolbinger
We give a new proof for a Ray-Knight representation of Feller's branching diffusion with logistic growth in terms of the local times of a reflected Brownian motion with a drift…
Muller's ratchet clicks in finite time
Julien Audiffren, Etienne Pardoux
We consider the accumulation of deleterious mutations in an asexual population, a phenomenon known as Muller's ratchet, using the continuous time model proposed in Etheridge et all…
Diffusion limit for many particles in a periodic stochastic acceleration field
Yves Elskens, Etienne Pardoux
The one-dimensional motion of any number $\cN$ of particles in the field of many independent waves (with strong spatial correlation) is formulated as a second-order system of stoch…