Publications

Journal Articles

  1. & Degenerate SDEs with singular drift and applications to Heisenberg groups. Journal of Differential Equations 265(6), 2745-2777.
  2. Estimates for invariant probability measures of degenerate SPDEs with singular and path-dependent drifts. Probability Theory and Related Fields
  3. Distribution dependent SDEs for Landau type equations. Stochastic Processes and their Applications 128(2), 595-621.
  4. & Higher order eigenvalues for non-local Schrödinger operators. Communications on Pure and Applied Analysis 17(1), 191-208.
  5. & Closability of quadratic forms associated to invariant probability measures of SPDEs. Infinite Dimensional Analysis, Quantum Probability and Related Topics 20(04), 1750023
  6. Integrability conditions for SDEs and semilinear SPDEs. The Annals of Probability 45(5), 3223-3265.
  7. Integrability conditions for SDEs and semilinear SPDEs. The Annals of Probability 45(5), 3223-3265.
  8. Hypercontractivity and applications for stochastic Hamiltonian systems. Journal of Functional Analysis 272(12), 5360-5383.
  9. & Functional SPDE with Multiplicative Noise and Dini Drift. Annales de la faculté des sciences de Toulouse Mathématiques 26(2), 519-537.
  10. Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations. Latin American Journal of Probability and Mathematical Statistics XIV, 361-380.
  11. Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups. Science China Mathematics 59(2), 261-280.
  12. Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift. Journal of Differential Equations 260(3), 2792-2829.
  13. & Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations. Journal of Statistical Physics 163(5), 1211-1234.
  14. & Harnack Inequality and Applications for Infinite-Dimensional GEM Processes. Potential Analysis 44(1), 137-153.
  15. & Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient. SIAM Journal on Mathematical Analysis 48(3), 2189-2226.
  16. Gradient estimates and applications for Neumann semigroup on narrow strip. Mathematische Zeitschrift 282(1-2), 43-60.
  17. Asymptotic couplings by reflection and applications for nonlinear monotone SPDES. Nonlinear Analysis: Theory, Methods & Applications 117, 169-188.
  18. Exponential convergence of non-linear monotone SPDEs. Discrete and Continuous Dynamical Systems 35(11), 5239-5253.
  19. Hypercontractivity for functional stochastic partial differential equations. Electronic Journal of Probability 20(0)
  20. Heat kernel for fractional diffusion operators with perturbations. Forum Mathematicum 27(2)
  21. & Gradient estimates for SDEs driven by multiplicative Lévy noise. Journal of Functional Analysis 269(10), 3195-3219.
  22. Functional Inequalities for Stable-Like Dirichlet Forms. Journal of Theoretical Probability 28(2), 423-448.
  23. Hypercontractivity for functional stochastic differential equations. Stochastic Processes and their Applications 125(9), 3636-3656.
  24. Integration by parts formula and shift Harnack inequality for stochastic equations. The Annals of Probability 42(3), 994-1019.
  25. Criteria of spectral gap for Markov operators. Journal of Functional Analysis 266(4), 2137-2152.
  26. & Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. Stochastic Processes and their Applications 124(3), 1261-1274.
  27. & Derivative formula and applications for degenerate diffusion semigroups. Journal de Mathématiques Pures et Appliquées
  28. & Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality. Journal of Differential Equations 253(1), 20-40.
  29. & Bismut formulae and applications for functional SPDEs. Bulletin des Sciences Mathématiques
  30. & DERIVATIVE FORMULA AND HARNACK INEQUALITY FOR DEGENERATE FUNCTIONAL SDEs. Stochastics and Dynamics, 1250013
  31. DERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIER–STOKES/BURGERS EQUATIONS. Infinite Dimensional Analysis, Quantum Probability and Related Topics 15(03), 1250020
  32. Derivative Formula and Gradient Estimates for Gruschin Type Semigroups. Journal of Theoretical Probability
  33. & Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump. Potential Analysis 36(2), 301-315.
  34. & A stochastic approach to a priori estimates and Liouville theorems for harmonic maps. Bulletin des Sciences Mathématiques 135(6-7), 816-843.
  35. Gradient estimate for Ornstein–Uhlenbeck jump processes. Stochastic Processes and their Applications 121(3), 466-478.
  36. & Harnack inequalities for functional SDEs with multiplicative noise and applications. Stochastic Processes and their Applications 121(11), 2692-2710.
  37. Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds. The Annals of Probability 39(4), 1449-1467.
  38. & Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis 34(3), 293-307.
  39. Equivalent semigroup properties for the curvature-dimension condition. Bulletin des Sciences Mathématiques 135(6-7), 803-815.
  40. & Log-Harnack inequality for stochastic Burgers equations and applications. Journal of Mathematical Analysis and Applications 384(1), 151-159.
  41. Coupling for Ornstein–Uhlenbeck processes with jumps. Bernoulli 17(4), 1136-1158.
  42. & Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion. Journal of Functional Analysis 260(2), 399-413.
  43. & Poincaré Inequality on the Path Space of Poisson Point Processes. Journal of Theoretical Probability 23(3), 824-833.
  44. Semigroup properties for the second fundamental form. Documenta Mathematica 15, 543-559.
  45. & Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients. Journal of Mathematical Analysis and Applications 365(1), 1-11.
  46. & LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES. Infinite Dimensional Analysis, Quantum Probability and Related Topics 13(01), 27-37.
  47. Harnack inequalities on manifolds with boundary and applications. Journal de Mathématiques Pures et Appliquées 94(3), 304-321.
  48. Gradient and Harnack inequalities on noncompact manifolds with boundary. Pacific Journal of Mathematics 245(1), 185-200.
  49. & A sharp Liouville theorem for elliptic operators. Rendiconti Lincei - Matematica e Applicazioni, 441-445.
  50. Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures. Science China Mathematics 53(4), 895-904.
  51. Second fundamental form and gradient of Neumann semigroups. Journal of Functional Analysis 256(10), 3461-3469.
  52. Super and weak Poincaré inequalities for hypoelliptic operators. Acta Mathematicae Applicatae Sinica, English Series 25(4), 617-630.
  53. & QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES. Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(02), 251-267.
  54. & On F-Sobolev and Orlicz-Sobolev inequalities. Frontiers of Mathematics in China 4(4), 659-667.
  55. Log-Sobolev inequalities: Different roles of Ric and Hess. The Annals of Probability 37(4), 1587-1604.
  56. Log-Sobolev inequality on non-convex Riemannian manifolds. Advances in Mathematics 222(5), 1503-1520.
  57. & Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Journal of Functional Analysis 257(4), 992-1017.
  58. & Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. Stochastic Processes and their Applications 119(10), 3653-3670.
  59. & Lyapunov conditions for Super Poincaré inequalities. Journal of Functional Analysis 256(6), 1821-1841.
  60. Nash and log-Sobolev inequalities for hypoelliptic operators. manuscripta mathematica 128(3), 343-358.
  61. & L q -Functional Inequalities and Weighted Porous Media Equations. Potential Analysis 28(1), 35-59.
  62. & On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state. Journal of Mathematical Physics 49(10), 102103
  63. Generalized Transportation-Cost Inequalities and Applications. Potential Analysis 28(4), 321-334.
  64. Entropy-cost inequalities for diffusion semigroups with curvature unbounded below. Proceedings of the American Mathematical Society 136(09), 3331-3338.
  65. ORLICZ–POINCARÉ INEQUALITIES. Proceedings of the Edinburgh Mathematical Society 51(02)
  66. & Compactness of Schrödinger semigroups with unbounded below potentials. Bulletin des Sciences Mathématiques 132(8), 679-689.
  67. From super Poincaré to weighted log-Sobolev and entropy-cost inequalities. Journal de Mathématiques Pures et Appliquées 90(3), 270-285.
  68. & Non-monotone stochastic generalized porous media equations. Journal of Differential Equations 245(12), 3898-3935.
  69. & Harnack inequality and strong Feller property for stochastic fast-diffusion equations. Journal of Mathematical Analysis and Applications 342(1), 651-662.
  70. & Quasi-regular Dirichlet forms on Riemannian path and loop spaces. Forum Mathematicum 20(6)
  71. & Transportation-cost inequality on path spaces with uniform distance. Stochastic Processes and their Applications 118(12), 2181-2197.
  72. & Construction of larger Riemannian metrics with bounded sectional curvatures and applications. Bulletin of the London Mathematical Society 40(4), 659-663.
  73. Probability distance inequalities on Riemannian manifolds and path spaces. Journal of Functional Analysis 206(1), 167-190.
  74. Functional inequalities on abstract Hilbert spaces and applications. Mathematische Zeitschrift 246(1-2), 359-371.
  75. Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities. The Annals of Probability 32(1A), 424-440.
  76. & Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups. Journal of Functional Analysis 185(2), 564-603.