Derrida's generalised random energy models 1 : models with finitely many hierarchies
Derrida's generalized random energy models 2 : models with continuous hierarchies
Des formes quadratiques binaires et ternaires.
Des formes quadratiques binaires et ternaires.
Detecting synchronization in spatially extended discrete systems by complexity measurements.
Determinant formulae for some tiling problems and application to fully packed loops
We present a number of determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration.
Determinantal processes and independence.
Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model.
Développement asymptotique de la densité d'états pour des opérateurs de Schrödinger aléatoires singuliers
Dichotomy in a scaling limit under Wiener measure with density.
Die Polynome von Yang-Lee und ihre Nullstellen.
Different approaches to stochastic parabolic differential equations
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The continuous case.
Diffuse-interface treatment of the anisotropic mean-curvature flow
We investigate the motion by mean curvature in relative geometry by means of the modified Allen-Cahn equation, where the anisotropy is incorporated. We obtain the existence result for the solution as well as a result concerning the asymptotical behaviour with respect to the thickness parameter. By means of a numerical scheme, we can approximate the original law, as shown in several computational examples.
Diffusion and scattering of shocks in the partially asymmetric simple exclusion process.
Diffusion approximation of nonlinear electron phonon collision mechanisms
Diffusion limit of the Lorentz model : asymptotic preserving schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...
Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...
Diffusion limits for the initial-boundary value problem of the Goldstein--Taylor model.
Diffusive long-time behavior of Kawasaki dynamics.