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We introduce a new probabilistic approach to quantify convergence to equilibrium for (kinetic) Langevin processes.
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Estimation of spectral gap for elliptic operators
M.-F. Chen and F.-Y. Wang · 1997
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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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D. Talay · 2001
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Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems
L. Wu · 2001
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M. Hairer · 2002
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Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
J. C. Mattingly · 2002
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J. C. Mattingly, A. M. Stuart, and D. J. Higham · 2002
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Exponential convergence to non-equilibrium stationary states in classical statistical mechanics
L. Rey-Bellet and L. E. Thomas · 2002
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Spectral properties of hypoelliptic operators
J.-P. Eckmann and M. Hairer · 2003
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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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Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians , volume 1862 of Lecture Notes in Mathematics
B. Helffer and F. Nier · 2005
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R. M. Neal · 2011
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Exponential convergence to equilibrium for kinetic Fokker-Planck equations
S. Calogero · 2012
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M. Grothaus and P. Stilgenbauer · 2014
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Stochastic processes and applications , volume 60 of Texts in Applied Mathematics
G. A. Pavliotis · 2014
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Hypocoercivity for linear kinetic equations conserving mass
J. Dolbeault, C. Mouhot, and C. Schmeiser · 2015
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Coupling the Kolmogorov diffusion: maximality and efficiency considerations
S. Banerjee and W. S. Kendall · 2016
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