On the speed of approach to equilibrium for a collisionless gas, Kinet. Relat. Models, vol.4, pp.87-107, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00517886
One-parameter semigroups of positive operators, Lecture Notes in Mathematics, vol.1184, 1986. ,
A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case, Electron. Commun. Probab, vol.13, pp.60-66, 2008. ,
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré, J. Funct. Anal, vol.254, pp.727-759, 2008. ,
Polynomial stability of operator semigroups, Math. Nachr, vol.279, pp.1425-1440, 2006. ,
Non-uniform stability for bounded semi-groups on Banach spaces, J. Evol. Equ, vol.8, pp.765-780, 2008. ,
The Boltzmann equation with a soft potential. I. Linear, spatiallyhomogeneous, Comm. Math. Phys, vol.74, pp.71-95, 1980. ,
The Boltzmann equation with a soft potential. II. Nonlinear, spatiallyperiodic, Comm. Math. Phys, vol.74, pp.97-109, 1980. ,
A semigroup proof of Harris' theorem ,
Landau equation for very soft and Coulomb potentials near Maxwellian, Ann. PDE, vol.3, pp.1-65, 2017. ,
Functional inequalities for heavy tailed distributions and application to isoperimetry, Electron. J. Probab, vol.15, issue.13, pp.346-385, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00666780
Subgeometric rates of convergence of f -ergodic strong Markov processes, Stochastic Process. Appl, vol.119, pp.897-923, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01314855
Linear Operators. I. General Theory. With the assistance of, Pure and Applied Mathematics, vol.7, 1958. ,
Quantitative Harris type theorems for diffusions and McKean-Vlasov processes ,
URL : https://hal.archives-ouvertes.fr/hal-01334806
On self-similarity and stationary problem for fragmentation and coagulation models, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.22, pp.99-125, 2005. ,
On the Boltzmann equation for diffusively excited granular media, Comm. Math. Phys, vol.246, pp.503-541, 2004. ,
Factorization of non-symmetric operators and exponential H-Theorem, Mém. Soc. Math. Fr, vol.153, pp.1-137, 2017. ,
The Landau equation in a periodic box, Comm. Math. Phys, vol.231, pp.391-434, 2002. ,
, Convergence of Markov Processes, 2016.
Remarks on the Kompaneets equation, a simplified model of the Fokker-Planck equation, Nonlinear partial differential equations and their applications, vol.31, pp.469-487, 1997. ,
Quelques remarques sur l'ultracontractivité, J. Funct. Anal, vol.111, pp.155-196, 1993. ,
, Graduate Studies in Mathematics, vol.14, 2001.
L 2 rates of convergence for attractive reversible nearest particle systems: the critical case, Ann. Probab, vol.19, pp.935-959, 1991. ,
General relative entropy inequality: an illustration on growth models, J. Math. Pures Appl, vol.84, issue.9, pp.1235-1260, 2005. ,
Semigroups in Banach spaces -factorization approach for spectral analysis and asymptotic estimates ,
Exponential stability of slowly decaying solutions to the Kinetic-Fokker-Planck equation, Arch. Ration. Mech. Anal, vol.221, pp.677-723, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01098081
On a kinetic FitzHugh-Nagumo model of neuronal network, Comm. Math. Phys, vol.342, pp.1001-1042, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01108872
Spectral analysis of semigroups and growth-fragmentation equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.33, pp.849-898, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01422273
Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials, Comm. Math. Phys, vol.261, issue.3, pp.629-672, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00076709
Convergence to equilibrium for the Fokker-Planck equation with a general force field. phD thesis, 2018. ,
Weak Poincaré inequalities and L 2 -convergence rates of Markov semigroups, J. Funct. Anal, vol.185, pp.564-603, 2001. ,
An introduction to Sobolev spaces and interpolation spaces, vol.3, 2007. ,
On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds, J. Statist. Phys, vol.98, pp.1279-1309, 2000. ,
A perturbation theorem for the essential spectral radius of strongly continuous semigroups, Monatsh. Math, vol.90, pp.153-161, 1980. ,
Laboratoire de Mathématiques de Versailles; 45 avenue des Etats Unis; 78035 Versailles cedex, France. Email address: kavian@math.uvsq.fr (Stéphane Mischler) Université Paris-Dauphine, CNRS ,
,