Clement Mouhot
Clément Mouhot (born August 19, 1978 in Paris ) is a French mathematician who studies partial differential equations and stochastic processes with applications in statistical physics.
Mouhot studied at the University of Lyon and the École normal supérieure de Lyon (ENS Lyon) with the Agrégation in mathematics in 2001 and received his doctorate in 2004 from the ENS Lyon with Cedric Villani (Etude mathématique de quelques équations cinétiques collisionnelles). He then did research for the CNRS at the University of Paris-Dauphiné and in 2009/10 at the École normal supérieure in Paris. In 2010 he completed his habilitation at the University of Paris VI and became a reader at the University of Cambridge in the same year . He has been a professor there since 2013 and a Fellow of King's College since 2012.
He deals with partial differential equations, functional equations and stochastic processes with applications in statistical physics (physics of dilute gases, Boltzmann equation, etc.), plasma physics ( Landau damping with Villani), dynamics of galaxies, open quantum systems, granular matter. After his doctoral supervisor Villani and his colleagues made great strides in the strict treatment of relaxation to equilibrium within the framework of Ludwig Boltzmann's H-theorem in the 2000s , Mouhot made progress in estimating the (exponential) time course of this approximation, for example in the case hard bullet gas.
He also looked at Mark Kac's (1956) program in kinetic theory (who derived the Boltzmann equation from Markov jump processes in a model of collisions in a many-body system with indistinguishable particles). He proved a conjecture by Kac about the molecular field limit of the theory.
In 2016 he gave a plenary lecture at the European Congress of Mathematicians in Berlin (DeGiorgi-Nash-Moser and Hörmander theories: new interplays). In 2014 he received the Whitehead Prize and in 2015 the Adams Prize. He also received the Grand Prix Madame Victor Noury of the Académie des Sciences. In 2019 an asteroid was named after him: (335306) Mouhot .
He is co-editor of the Journal of Statistical Physics and Communications in Mathematical Physics.
Fonts
- Rate of convergence to equilibrium of the spatially homogeneous Boltzmann equation with hard potentials, Comm. Math. Phys., Volume 261, 2006, pp. 629-672. Arxiv
- with MP Gualdini, S. Mischler: Factorization of non-symmetric operators and exponential H-theorem, Preprint 2010, 2013, Arxiv
- with Stéphane Mischler: Kac's Program in Kinetic Theory, Inventiones Mathematicae, Volume 193, 2013, pp. 1–147, Citeseer
- with Mischler, Bernt Wennberg: A new approach to quantitative propagation of chaos for drift, diffusion and jump processes, Probability Theory and Related Fields, Volume 161, 2015, pp. 1-59, Arxiv
- with Villani: On Landau damping, Acta Mathematica, Volume 207, 2011, pp. 29–201, Arxiv .
- with Mischler: Stability, convergence to self-similarity and elastic limit for the Boltzmann equation for inelastic hard spheres, Discrete and Cont. Dyn. Syst., Series A, Volume 24, 2009, pp. 59-185, Arxiv
- with Celine Baranger: Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials, Revista Matematica Iberoamericana, Volume 21, 2005, pp. 819-841, Arxiv
- with Robert Strain: Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff, J. Mat. Pure Appl., Volume 87, 2007, pp. 515-535, Arxiv
Web links
Individual evidence
- ↑ Clément Mouhot in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Mouhot, Clement |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | 19th August 1978 |
| PLACE OF BIRTH | Paris |