F
Francis Nier
Researcher at University of Rennes
Publications - 68
Citations - 2610
Francis Nier is an academic researcher from University of Rennes. The author has contributed to research in topics: Nonlinear system & Semiclassical physics. The author has an hindex of 24, co-authored 67 publications receiving 2438 citations. Previous affiliations of Francis Nier include Centre national de la recherche scientifique & University of Paris.
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Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
Bernard Helffer,Francis Nier +1 more
TL;DR: Kohn's Proof of the Hypoellipticity of the Hormander Operators was proved in this article, where the authors used the Witten Laplacians to prove the existence of the Fokker-Planck operator.
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Isotropic Hypoellipticity and Trend to Equilibrium for the Fokker-Planck Equation with a High-Degree Potential
Frédéric Hérau,Francis Nier +1 more
TL;DR: In this paper, the Fokker-Planck equation with a confining or anti-confining potential was considered and the rate of convergence to equilibrium was analyzed in terms of the lowest positive eigenvalue of the corresponding Witten Laplacian.
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Optimal Non-reversible Linear Drift for the Convergence to Equilibrium of a Diffusion
TL;DR: In this article, the authors consider non-reversible perturbations of reversible diffusions that do not alter the invariant distribution and ask whether there exists an optimal perturbation such that the rate of convergence to equilibrium is maximized.
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Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis
Zied Ammari,Francis Nier +1 more
TL;DR: In this paper, the construction of Wigner measures in the infinite dimensional bosonic quantum field theory is proposed, with applications to the derivation of the mean field dynamics, and it is shown how they can be used to make connections between different kinds of results or to prove new ones.
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Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
TL;DR: In this paper, the distribution of zeros of the Bose-Einstein condensate minimizer was studied and it was shown that the number of zero points is infinite.