230 citations · 1.3k across the 68 of their papers we have counts for
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A mathematical justification of the finite time approximation of Becker-Döring equations by a Fokker-Planck dynamics
Gabriel Stoltz, Pierre Terrier
The Becker-Döring equations are an infinite dimensional system of ordinary differntial equations describing coagulation/fragmentation processes of species of integer sizes. Formal…
A reduced Hartree-Fock model of slice-like defects in the Fermi sea
Éric Cancès, Ling-Ling Cao, Gabriel Stoltz
Studying the electronic structure of defects in materials is an important subject in condensed matter physics. From a mathematical point of view, nonlinear mean-field models of loc…
Hybrid Monte Carlo methods for sampling probability measures on submanifolds
Tony Lelièvre, Mathias Rousset, Gabriel Stoltz
Probability measures supported on submanifolds can be sampled by adding an extra momentum variable to the state of the system, and discretizing the associated Hamiltonian dynamics…
More on the long time stability of Feynman-Kac semigroups
Grégoire Ferré, Mathias Rousset, Gabriel Stoltz
Feynman-Kac semigroups appear in various areas of mathematics: non-linear filtering, large deviations theory, spectral analysis of Schrodinger operators among others. Their long ti…