Bakry-Emery meet Villani

D. Bakry M. Emery, Diffusions hypercontractives , Sémin. de probabilités XIX, Univ. Strasbourg, Springer, 1983

1983

Earlier work this paper cites.

L. Wu, Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems . Stochastic Process. Appl. 91 (2001), no. 2, 205Ð238

Original

2001

Earlier work this paper cites.

JC Mattingly, AM Stuart, & DJ Higham, Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise , Stochastic Processes and their Applications, vol. 101 no. 2 (October, 2002), pp. 185-232

2002

Earlier work this paper cites.

D. Talay, Stochastic Hamiltonian Systems: Exponential Convergence to the Invariant Measure, and Discretization by the Implicit Euler Scheme , Markov Processes Relat. Fields 8, 1-36 (2002)

2002

Earlier work this paper cites.

J-P. Eckmann, M. Hairer, Spectral Properties of Hypoelliptic Operators , Communications in Mathematical Physics, April 2003, Volume 235, Issue 2, pp 233-253

2003

Earlier work this paper cites.

F. Hérau, F. Nier: Isotropic hypoellipticity and trend to equilibrium for the Fokker-Planck equation with high degree potential , Arch. Ration. Mech. Anal., 171(2):151-218, (2004)

2004

Earlier work this paper cites.

B. Helffer, F. Nier: Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Lecture Notes in Mathematics, 1862. Springer-Verlag, Berlin, (2005)

2005

Cited alongside, same era.

D. Bakry, P. Cattiaux, A. Guillin, Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré . J. Funct. Anal. 254 (2008), no. 3, 727Ð759

2008

Cited alongside, same era.

C. Villani: Hypocoercivity , Mem. Amer. Math. Soc. 202 (2009), no. 950

2009

Cited alongside, same era.

K. Kuwada, Duality on gradient estimates and Wasserstein controls , J. Funct. Anal., 258 (2010), pp. 3758-3774

2010

Cited alongside, same era.

F. Baudoin, M. Bonnefont, Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality , Journal of Functional Analysis, Volume 262

2012

A. Guillin, F-Y Wang, Degenerate Fokker-Planck Equations : Bismut Formula, Gradient Estimate and Harnack Inequality , Journal of Differential Equations, Volume 253, Issue 1, 1 July 2012, Pages 20-40

2012

Later among the works it cites.

F. Baudoin, J. Wang, Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds , Potential Analysis, 40, 2014, 163-193

2014

Closest in time.

F. Baudoin, Sub-Laplacians and hypoelliptic operators on Riemannian foliations , Geometry, analysis and dynamics on sub-Riemannian manifolds. Vol. 1, 259-321, EMS Ser. Lect. Math., Eur. Math. Soc., Zürich, 2016

2016

Closest in time.

F. Baudoin, N. Garofalo, Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries , Journal of the EMS, Vol. 19, Issue 1, 2017

2017

Closest in time.