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This paper deals with the study of some particular kinetic models, where the randomness acts only on the velocity variable level.
Hypoelliptic second order differential equations
L. Hörmander · 1967
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Calcul infinitésimal
J. Dieudonné · 1968
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L’algèbre de Lie des gradients itérés d’un générateur markovien—développements de moyennes et entropies
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On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis
P. A. Markowich and C. Villani · 1999
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Sur les inégalités de Sobolev logarithmiques
C. Ané, S. Blachère, D. Chafaï, P Fougères, I. Gentil, F. Malrieu, C. Roberto, and G. Scheffer · 2000
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Analysis of a nonreversible Markov chain sampler
P. Diaconis, S. Holmes, and R. M. Neal · 2000
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Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators
J.-P. Eckmann and M. Hairer · 2000
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On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: the linear Fokker-Planck equation
L. Desvillettes and C. Villani · 2001
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Spectral properties of hypoelliptic operators
J.-P. Eckmann and M. Hairer · 2003
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Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes
K. Fellner, L. Neumann, and C. Schmeiser · 2004
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Isotropic hypoellipticity and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
F. Hérau and F. Nier · 2004
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Improving Asymptotic Variance of MCMC Estimators: Non-reversible Chains are Better
R. M. Neal · 2004
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On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
L. Desvillettes and C. Villani · 2005
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Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
B. Helffer and F. Nier · 2005
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Hypocoercivity: the example of linear transport
L. Desvillettes · 2006
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Solving the Boltzmann equation in N log 2 N N\log_{2}N
F. Filbet, C. Mouhot, and L. Pareschi · 2006
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Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation
F. Hérau · 2006
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Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
C. Mouhot and L. Neumann · 2006
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An efficient sampling algorithm for variational monte carlo
A. Scemama, T. Lelièvre, G. Stoltz, and M. Caffarel · 2006
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Hypocoercive diffusion operators
C. Villani · 2006
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Quantitative ergodicity for some switched dynamical systems
M. Benaïm, S. Le Borgne, F. Malrieu, and P.-A. Zitt · 2012
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Exponential convergence to equilibrium for kinetic Fokker-Planck equations
S. Calogero · 2012
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Quantitative estimates for the long time behavior of an ergodic variant of the telegraph process
J. Fontbona, H. Guérin, and F. Malrieu · 2012
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Geometry, mixing properties and hypocoercivity of a degenerate diffusion arising in technical textile industry
M. Grothaus, A. Klar, J. Maringer, and P. Stilgenbauer · 2012
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Hypocoercivity for Kolmogorov backward evolution equations and applications
M. Grothaus and P. Stilgenbauer · 2012
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Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality
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Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
D. Bakry, P. Cattiaux, and A. Guillin · 2008
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On the long time behavior of the TCP window size process
D. Chafai, F. Malrieu, and K. Paroux · 2008
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Hypocoercivity for kinetic equations with linear relaxation terms
J. Dolbeault, C. Mouhot, and C. Schmeiser · 2009
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Subgeometric rates of convergence of f f -ergodic strong Markov processes
R. Douc, G. Fort, and A. Guillin · 2009
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C. Villani · 2009
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Ergodicity for infinite particle systems with locally conserved quantities
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Étude spectrale minutieuse de processus moins indécis que les autres
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Convergence to Equilibrium of Some Kinetic Models
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Total variation estimates for the tcp process
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On the spectral analysis of second-order Markov chains
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Hypocoercivity and stability for a class of kinetic models with mass conservation and a confining potential
J. Dolbeault, C. Mouhot, and C. Schmeiser · 2013
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Spectral decompositions and 𝕃 2 \mathbb{L}^{2} -operator norms of toy hypocoercive semi-groups
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