285 citations · 682 across the 44 of their papers we have counts for
4 papers · 1 filter
Regularization properties of the 2D homogeneous Boltzmann equation without cutoff
Vlad Bally, Nicolas Fournier
We consider the 2-dimensional spatially homogeneous Boltzmann equation for hard potentials. We assume that the initial condition is a probability measure that has some exponential…
Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential
Nicolas Fournier
We prove the uniqueness of bounded solutions for the spatially homogeneous Fokker-Planck-Landau equation with a Coulomb potential. Since the local (in time) existence of such solut…
A pure jump Markov process with a random singularity spectrum
Julien Barral, Nicolas Fournier, Stephane Jaffard +1
We construct a non-decreasing pure jump Markov process, whose jump measure heavily depends on the values taken by the process. We determine the singularity spectrum of this process…
Simulation and approximation of Levy-driven stochastic differential equations
Nicolas Fournier
We consider the problem of the simulation of Levy-driven stochastic differential equations. It is generally impossible to simulate the increments of a Levy-process. Thus in additio…