N. Fournier

activity

20052026

most citedA microscopic probabilistic description of a locally regulated population and macroscopic approximations

285 citations · 682 across the 44 of their papers we have counts for

collaborators

Showing 2010 · math.PRShow all

3 papers · 2 filters

math.PR2010★ 36 cited

On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes

Nicolas Fournier

We study a one-dimensional stochastic differential equation driven by a stable Lévy process of order $α$ with drift and diffusion coefficients $b, σ$ . When $α \in (1, 2)$ , we investig…

math.PR2010

Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process

Eduardo Cepeda, Nicolas Fournier

We derive a satisfying rate of convergence of the Marcus-Lushnikov process toward the solution to Smoluchowski's coagulation equation. Our result applies to a class of homogeneous-…

math.PR2010

Stability of the stochastic heat equation in $L^{1} ([0, 1])$

Nicolas Fournier, Jacques Printems

We consider the white-noise driven stochastic heat equation on $[0, \infty) \times [0, 1]$ with Lipschitz-continuous drift and diffusion coefficients $b$ and $σ$ . We derive an inequali…

On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes

Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process

Stability of the stochastic heat equation in L1([0,1])

Stability of the stochastic heat equation in $L^{1} ([0, 1])$