Publications (37)
On the equivalence between some jumping SDEs with rough coefficients and some non-local PDEs
Nicolas Fournier, Liping Xu
From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules
Nicolas Fournier, Arnaud Guillin
Asymptotics of one-dimensional forest fire processes
Xavier Bressaud, Nicolas Fournier
On Monte-Carlo tree search for deterministic games with alternate moves and complete information
Sylvain Delattre, Nicolas Fournier
Particle approximation of some Landau equations
Nicolas Fournier
One dimensional critical Kinetic Fokker-Planck equations, Bessel and stable processes
Nicolas Fournier, Camille Tardif
Anomalous diffusion for multi-dimensional critical Kinetic Fokker-Planck equations
Nicolas Fournier, Camille Tardif
Stability of the stochastic heat equation in $L^1([0,1])$
Nicolas Fournier, Jacques Printems
On the Kozachenko-Leonenko entropy estimator
Nicolas Fournier, Sylvain Delattre
A new regularization possibility for the Boltzmann equation with soft potentials
Nicolas Fournier
Marcus-Lushnikov processes, Smoluchowski's and Flory's models
Nicolas Fournier, Philippe Laurencot
Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump
Nicolas Fournier
High dimensional Hawkes processes
Sylvain Delattre, Nicolas Fournier, Marc Hoffmann
Asymptotic of grazing collisions and particle approximation for the Kac equation without cutoff
Nicolas Fournier, David Godinho
One-dimensional general forest fire processes
Xavier Bressaud, Nicolas Fournier
On the invariant distribution of a one-dimensional avalanche process
Xavier Bressaud, Nicolas Fournier
Propagation of chaos for the 2D viscous vortex model
Nicolas Fournier, Maxime Hauray, Stéphane Mischler
Well-posedness of the spatially homogeneous Landau equation for soft potentials
Hélène Guerin, Nicolas Fournier
Absolute continuity for some one-dimensional processes
Nicolas Fournier, Jacques Printems
Mean-field forest-fire models and pruning of random trees
Xavier Bressaud, Nicolas Fournier
Statistical inference versus mean field limit for Hawkes processes
Sylvain Delattre, Nicolas Fournier
Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential
Nicolas Fournier
Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition
Nicolas Fournier
A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff
Nicolas Fournier
Propagation of chaos for the Landau equation with moderately soft potentials
Nicolas Fournier, Maxime Hauray
Regularization properties of the 2D homogeneous Boltzmann equation without cutoff
Vlad Bally, Nicolas Fournier
A pure jump Markov process with a random singularity spectrum
Julien Barral, Nicolas Fournier, Stephane Jaffard +1
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Nicolas Fournier, Sylvie Meleard
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
Nicolas Fournier, Benjamin Jourdain
On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes
Nicolas Fournier
On a toy model of interacting neurons
Nicolas Fournier, Eva Löcherbach
Rate of convergence of the Nanbu particle system for hard potentials
Nicolas Fournier, Stéphane Mischler
On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity
Nicolas Fournier, Clément Mouhot
Simulation and approximation of Levy-driven stochastic differential equations
Nicolas Fournier
Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process
Eduardo Cepeda, Nicolas Fournier
On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity
Nicolas Fournier, Hélène Guérin
On the rate of convergence in Wasserstein distance of the empirical measure
Nicolas Fournier, Arnaud Guillin