Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality

Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality

Félix Otto, Cédric Villani · Journal of Functional Analysis · 2000 · 963 citations

Social Sciences, Sociology, Stochastic Processes +5

Formulae for the Derivatives of Heat Semigroups

K. D. Elworthy, Xue-Mei Li · Journal of Functional Analysis · 1994 · 308 citations · Full text

Engineering, Physics, Differential Equations +10

Logarithmic Sobolev inequalities on noncompact Riemannian manifolds

Feng‐Yu Wang · Probability Theory and Related Fields · 1997 · 290 citations · Full text

Natural Sciences, Geophysics, Thermodynamics +10

Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré

Dominique Bakry, Patrick Cattiaux, Arnaud Guillin · Journal of Functional Analysis · 2007 · 261 citations

Natural Sciences, Mathematics, Dynamical Systems +12

Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems

Liming Wu · Stochastic Processes and their Applications · 2001 · 201 citations

Natural Sciences, Physics, Computational Physics +15