Feng‐yu Wang

Feng‐yu Wang's AcademicInfluence.com Rankings

Feng‐yu Wang

Mathematics

#6798

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#9349

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Functional Analysis

#46

World Rank

#63

Historical Rank

Measure Theory

#1610

World Rank

#1989

Historical Rank

mathematics Degrees

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Mathematics

Feng‐yu Wang's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics National Taiwan University

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Feng‐yu Wang's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Logarithmic Sobolev inequalities on noncompact Riemannian manifolds (1997) (285)
Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups (2001) (188)
Stochastic generalized porous media and fast diffusion equations (2006) (162)
Distribution-Dependent SDEs for Landau Type Equations (2016) (162)
Functional Inequalities for Empty Essential Spectrum (2000) (160)
Analysis for Diffusion Processes on Riemannian Manifolds (2013) (127)
Harnack inequalities on manifolds with boundary and applications (2009) (121)
Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below (2006) (119)
Harnack inequality and applications for stochastic generalized porous media equations (2007) (115)
Estimation of spectral gap for elliptic operators (1997) (112)
Harnack and functional inequalities for generalized Mehler semigroups (2003) (109)
Harnack Inequalities for Stochastic Partial Differential Equations (2013) (104)
Gradient Estimates for Harmonic Functions on Regular Domains in Riemannian Manifolds (1998) (104)
Distribution dependent SDEs with singular coefficients (2018) (101)
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds☆ (2009) (97)
Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity (2005) (93)
FUNCTIONAL INEQUALITIES, SEMIGROUP PROPERTIES AND SPECTRUM ESTIMATES (2000) (92)
Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds (2009) (92)
Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality (2011) (86)
General formula for lower bound of the first eigenvalue on Riemannian manifolds (1997) (84)
Probability distance inequalities on Riemannian manifolds and path spaces (2004) (84)
Harnack inequalities for functional SDEs with multiplicative noise and applications (2010) (76)
Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups (2008) (75)
Log-Harnack Inequality for Stochastic Differential Equations in Hilbert Spaces and its Consequences (2009) (75)
Gradient estimates for diffusion semigroups with singular coefficients (2006) (73)
Heat kernel estimates with application to compactness of manifolds (2001) (68)
LOGARITHMIC SOBOLEV INEQUALITIES: CONDITIONS AND COUNTEREXAMPLES (2001) (67)
Non-monotone stochastic generalized porous media equations☆ (2008) (66)
Harnack inequality and strong Feller property for stochastic fast-diffusion equations☆ (2007) (65)
On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups (1997) (64)
Application of coupling methods to the Neumann eigenvalue problem (1994) (61)
Lyapunov conditions for Super Poincaré inequalities (2009) (60)
Harnack Inequalities for Log-Sobolev Functions and Estimates of Log-Sobolev Constants (1999) (59)
Degenerate SDE with Hölder-Dini Drift and Non-Lipschitz Noise Coefficient (2015) (57)
Derivative formula and applications for degenerate diffusion semigroups (2011) (55)
Equivalent semigroup properties for the curvature-dimension condition (2010) (55)
Elliptic equations for invariant measures on finite and infinite dimensional manifolds (2001) (52)
Nonlinear Fokker–Planck equations for probability measures on path space and path-distribution dependent SDEs (2017) (51)
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap (1998) (51)
Functional Inequalities and Spectrum Estimates: The Infinite Measure Case (2002) (51)
Equivalence of Dimension-Free Harnack Inequality and Curvature Condition (2004) (50)
Gradient estimates for SDEs driven by multiplicative Lévy noise (2013) (49)
Gradient estimate for Ornstein–Uhlenbeck jump processes (2010) (49)
Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift (2014) (49)
Bismut formula for Lions derivative of distribution dependent SDEs and applications (2018) (48)
Functional inequalities for uniformly integrable semigroups and application to essential spectrums (2002) (48)
A Generalization of Poincaré and Log-Sobolev Inequalities (2005) (44)
Harnack inequalities for stochastic equations driven by Levy noise (2012) (44)
Derivative Formula and Applications for Hyperdissipative Stochastic Navier-Stokes/Burgers Equations (2010) (41)
Existence of the spectral gap for elliptic operators (1998) (39)
Hypercontractivity and applications for stochastic Hamiltonian systems (2017) (38)
Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance (2020) (38)
Large deviations for stochastic generalized porous media equations (2005) (38)
Integration by parts formula and shift Harnack inequality for stochastic equations (2012) (37)
On order-preservation and positive correlations for multidimensional diffusion processes (1993) (37)
Gradient estimates and the first Neumann eigenvalue on manifolds with boundary (2005) (37)
Distribution dependent stochastic differential equations (2016) (36)
Coupling for Ornstein–Uhlenbeck processes with jumps (2010) (36)
Transportation Cost Inequalities for Neutral Functional Stochastic Equations (2012) (36)
Estimates of Logarithmic Sobolev Constant: An Improvement of Bakry–Emery Criterion (1997) (35)
Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature (2016) (33)
Lq-Functional Inequalities and Weighted Porous Media Equations (2007) (33)
Estimates of the first Neumann eigenvalue and the log‐Sobolev constant on non‐convex manifolds (2007) (33)
Functional Inequalities for the Decay of Sub-Markov Semigroups (2003) (32)
Estimation of the First Eigenvalue of Second Order Elliptic Operators (1995) (31)
Sharp explicit lower bounds of heat kernels (1997) (31)
Log-Harnack inequality for stochastic Burgers equations and applications (2010) (31)
Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump (2009) (30)
Transportation cost inequalities on path spaces over Riemannian manifolds (2002) (30)
DERIVATIVE FORMULA AND HARNACK INEQUALITY FOR DEGENERATE FUNCTIONAL SDEs (2011) (30)
A Class of Infinite-Dimensional Diffusion Processes with Connection to Population Genetics (2007) (28)
Sobolev type inequalities for general symmetric forms (2000) (27)
Harnack inequalities for stochastic (functional) differential equations with non-Lipschitzian coefficients (2012) (27)
Bismut formulae and applications for functional SPDEs (2011) (27)
Criteria of spectral gap for Markov operators (2013) (27)
Compactness of Schrödinger semigroups with unbounded below potentials (2008) (27)
Sharp estimates for intrinsic ultracontractivity on C1,α-domains (2007) (27)
Dimension-Independent Harnack Inequalities for Subordinated Semigroups (2010) (25)
Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion (2011) (25)
Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion (2011) (25)
A condition for the equivalence of coupling and shift coupling (2000) (25)
A link of stochastic differential equations to nonlinear parabolic equations (2012) (25)
Derivative Formula and Harnack Inequality for SDEs Driven by Lévy Processes (2011) (25)
GRADIENT AND HARNACK INEQUALITIES ON NONCOMPACT MANIFOLDS WITH BOUNDARY (2010) (24)
Weak Poincaré inequalities for convergence rate of degenerate diffusion processes (2017) (24)
Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities (2009) (24)
Second fundamental form and gradient of Neumann semigroups (2009) (23)
Degenerate SDEs in Hilbert Spaces with Rough Drifts (2015) (23)
Derivative Formula and Gradient Estimates for Gruschin Type Semigroups (2011) (22)
Integrability Conditions for SDEs and Semi-Linear SPDEs (2015) (22)
Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs (2018) (22)
Asymptotic Log-Harnack inequality and applications for stochastic systems of infinite memory (2017) (21)
Asymptotic couplings by reflection and applications for nonlinear monotone SPDES (2014) (21)
Semigroup properties for the second fundamental form (2009) (21)
Generalized Curvature Condition for Subelliptic Diffusion Processes (2012) (21)
Functional Inequalities for Stable-Like Dirichlet Forms (2012) (20)
Functional Inequalities for Convolution Probability Measures (2013) (20)
Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities (2004) (20)
Hypercontractivity for functional stochastic differential equations (2014) (19)
Transportation-cost inequality on path spaces with uniform distance (2007) (19)
From super Poincaré to weighted log-Sobolev and entropy-cost inequalities (2007) (18)
Perturbations of functional inequalities using growth conditions (2007) (18)
Equivalent Harnack and gradient inequalities for pointwise curvature lower bound (2012) (18)
Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients (2010) (18)
Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients (2010) (18)
Bismut formula for Lions derivative of distribution-path dependent SDEs (2020) (17)
Heat kernel for fractional diffusion operators with perturbations (2012) (16)
Log-Sobolev inequalities: Different roles of Ric and Hess (2007) (16)
Estimates for invariant probability measures of degenerate SPDEs with singular and path-dependent drifts (2017) (15)
Spectral gap for hyperbounded operators (2004) (15)
ORLICZ–POINCARÉ INEQUALITIES (2008) (15)
Invariance Implies Gibbsian: Some New Results (2004) (15)
Exponential convergence in entropy and Wasserstein for McKean–Vlasov SDEs (2021) (15)
Log Harnack inequality for mild solutions of SPDEs with multiplicative noise (2014) (15)
Analysis on free Riemannian path spaces (2005) (14)
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations (2020) (14)
Log-Harnack inequality for Gruschin type semigroups (2012) (14)
Donsker-Varadhan large deviations for path-distribution dependent SPDEs (2020) (14)
Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds (2019) (14)
Estimates of the first Dirichlet eigenvalue by using diffusion processes (1995) (14)
Pointwise characterizations of curvature and second fundamental form on Riemannian manifolds (2016) (14)
On Gromov's theorem and L 2-Hodge decomposition (2004) (14)
Singular McKean-Vlasov (reflecting) SDEs with distribution dependent noise (2020) (14)
Precise limit in Wasserstein distance for conditional empirical measures of Dirichlet diffusion processes (2020) (13)
Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations (2015) (13)
Exponential Convergence of Non-Linear Monotone SPDEs (2013) (13)
Higher order eigenvalues for non-local Schrödinger operators (2017) (13)
Regularity Estimates and Intrinsic-Lions Derivative Formula for Singular (2021) (13)
Coupling and strong Feller for jump processes on Banach spaces (2011) (13)
Derivative formulas in measure on Riemannian manifolds (2019) (13)
Coupling and Applications (2010) (13)
THE STOCHASTIC ORDER AND CRITICAL PHENOMENA FOR SUPERPROCESSES (2006) (13)
Weak Poincaré inequalities on path spaces (2004) (13)
Poincaré Inequality on the Path Space of Poisson Point Processes (2008) (12)
Modified Curvatures on Manifolds with Boundary and Applications (2011) (12)
Analysis on Path Spaces over Riemmannian Manifolds with Boundary (2010) (12)
Hypercontractivity for functional stochastic partial differential equations (2015) (12)
Functional inequalities on abstract Hilbert spaces and applications (2004) (11)
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps (2011) (11)
Estimates of Dirichlet heat kernels (1998) (11)
Wasserstein convergence rate for empirical measures on noncompact manifolds (2020) (11)
Integration by Parts Formula and Applications for SDEs with L\'evy Noise (2013) (10)
Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes (2018) (10)
Convergence inWasserstein distance for empirical measures of Dirichlet diffusion processes on manifolds (2020) (10)
Linearization of nonlinear Fokker-Planck equations and applications (2019) (10)
Functional inequalities, Markov semigroups and spectral theory = 泛函不等式,马尓可夫半群与谱理论 (2005) (10)
General extinction results for stochastic partial differential equations and applications (2011) (10)
Generalized Transportation-Cost Inequalities and Applications (2008) (10)
Order preservation for multidimensional stochastic functional differential equations with jumps (2013) (9)
Perturbations of Functional Inequalities for L\'evy Type Dirichlet Forms (2013) (9)
Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds (2017) (9)
Image-dependent conditional McKean–Vlasov SDEs for measure-valued diffusion processes (2020) (9)
Derivative Estimates of Semigroups and Riesz Transforms on Vector Bundles (2004) (9)
Hypercontractivity for Stochastic Hamiltonian Systems (2014) (9)
Exponential Convergence in Entropy and Wasserstein Distance for McKean-Vlasov SDEs (2020) (9)
Harnack Inequality and Applications for Infinite-Dimensional GEM Processes (2014) (9)
Order Preservation for Path-Distribution Dependent SDEs (2017) (9)
Quasi-regular Dirichlet forms on Riemannian path and loop spaces (2008) (9)
On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state (2008) (8)
Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations (2019) (8)
Derivative estimates on distributions of McKean-Vlasov SDEs (2020) (8)
Intrinsic ultracontractivity on Riemannian manifolds with infinite volume measures (2007) (8)
Nash inequality for diffusion processes associated with Dirichlet distributions (2018) (8)
Convergence in Wasserstein distance for empirical measures of semilinear SPDEs (2021) (8)
Distribution Dependent Reflecting Stochastic Differential Equations (2021) (8)
Nash and log-Sobolev inequalities for hypoelliptic operators (2009) (8)
OPTIMAL INTEGRABILITY CONDITION FOR THE LOG-SOBOLEV INEQUALITY (2007) (8)
Ergodicity for neutral type SDEs with infinite length of memory (2018) (8)
Super and weak Poincaré inequalities for hypoelliptic operators (2009) (7)
Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups (2012) (7)
Spectral gap for measure-valued diffusion processes (2019) (7)
GRADIENT ESTIMATE AND HARNACK INEQUALITY ON NON-COMPACT RIEMANNIAN MANIFOLDS (2008) (7)
EXPONENTIAL CONVERGENCE RATES OF SECOND QUANTIZATION SEMIGROUPS AND APPLICATIONS (2010) (7)
Functional inequalities on arbitrary Riemannian manifolds (2004) (6)
Gradient Estimate on the Neumann Semigroup and Applications (2010) (6)
Limit theorems for additive functionals of path-dependent SDEs (2019) (6)
A character of the gradient estimate for diffusion semigroups (2004) (6)
Stochastic generalized porous media equations with reflection (2013) (6)
Well-Posedness for Singular McKean-Vlasov Stochastic Differential Equations. (2020) (6)
Liouville theorem and coupling on negatively curved Riemannian manifolds (2002) (6)
Bismut Formula for Intrinsic/Lions Derivatives of Distribution Dependent SDEs with Singular Coefficients (2021) (6)
Lyapunov conditions for logarithmic Sobolev and Super Poincar\'e inequality (2007) (6)
Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds (2021) (6)
Coupling, convergence rates of Markov processes and weak Poincaré inequalities (2002) (6)
Functional Inequalities for Stable-Like (2013) (5)
Integration by parts formula and applications for SPDEs with jumps (2016) (5)
On the Spectrum of a Class of Non‐Sectorial Diffusion Operators (2004) (5)
L¹-convergence and hypercontractivity of diffusion semigroups on manifolds (2004) (5)
Gradient Estimates on Dirichlet and Neumann Eigenfunctions (2018) (5)
CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS (2007) (5)
Transportation-cost inequalities on path space over manifolds with boundary (2009) (5)
ON THE COMPACTNESS OF MANIFOLDS (2003) (4)
Heat Kernel Inequalities for Curvature and Second Fundamental Form (2009) (4)
A Generalization of Poincaré and Log-Sobolev Inequalities (2005) (4)
Construction of larger Riemannian metrics with bounded sectional curvatures and applications (2008) (4)
Log-Harnack Inequality for Mild Solutions of SPDEs with Strongly Multiplicative Noise ∗ (2012) (4)
Degenerate SDEs with singular drift and applications to Heisenberg groups (2017) (4)
Ergodicity and Feyman-Kac Formula for Space-Distribution Valued Diffusion Processes (2019) (4)
QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES (2009) (4)
Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions (2001) (4)
Φ-entropy inequality and application for SDEs with jumps (2014) (4)
Exponential ergodicity for singular reflecting McKean-Vlasov SDEs (2021) (3)
Bismut Formula and Harnack Inequality for Fokker-Planck Equations (2011) (3)
Functional inequalities for weighted Gamma distribution on the space of finite measures (2018) (3)
Exponential ergodicity for non-dissipative McKean-Vlasov SDEs (2021) (3)
Estimates of logarithmic Sobolev constat for finite-volume continuous spin systems (1996) (3)
Derivative Formula for Singular McKean-Vlasov SDEs (2021) (3)
Essential spectrum on Riemannian manifolds (2004) (3)
A Sharp Liouville Theorem for Elliptic Operators (2010) (3)
Log-Harnack Inequality and Bismut Formula for Singular McKean-Vlasov SDEs (2022) (2)
Beckner Inequality on Finite- and Infinite-Dimensional Manifolds* (2006) (2)
Stochastic Processes and Their Applications the Conference Organizing Committee the Scientific Committee Bálint Tóth (budapest) Feng-yu Wang (beijing) Ii in Memoriam (2007) (2)
Diffusions and PDEs on Wasserstein Space (2019) (2)
Gradient Estimates on Dirichlet Eigenfunctions (2017) (2)
Some Properties for Ornstein-Uhlenbeck Jump Processes (2010) (2)
On F-Sobolev and Orlicz-Sobolev inequalities (2009) (2)
Sobolev–Kantorovich inequalities under CD(0,∞) condition (2021) (2)
Functional Inequalities for UniformlyIntegrable Semigroups and Applications (2007) (2)
Functional Inequalities for Particle Systems on Polish Spaces (2005) (2)
Semi-Linear SPDE with Multiplicative Noise and Non-H\"older Drift (2014) (2)
A Harnack-type inequality for non-symmetric Markov semigroups ✩ (2006) (2)
Entropy-cost inequalities for diffusion semigroups with curvature unbounded below (2008) (2)
Regularities and Exponential Ergodicity in Entropy for SDEs Driven by Distribution Dependent Noise (2022) (2)
Log-Sobolev inequality on non-convex Riemannian manifolds (2009) (2)
Some inequalities on Riemannian manifolds linking Entropy,Fisher information, Stein discrepancy and Wasserstein distance (2021) (1)
Invariant measures of stochastic gradient systems in Riemannian manifolds and gibbs measures (2002) (1)
Killed distribution dependent SDE for nonlinear Dirichlet problem (2022) (1)
Ultra-Exponential Convergence Rate for Non-Linear Monotone SPDEs (2013) (1)
Robin Heat Semigroup and HWI Inequality on Manifolds with Boundary (2009) (1)
Ornstein-Uhlenbeck Type Processes on Wasserstein Space (2022) (1)
Estimates of Semigroups and Eigenvalues Using Functional Inequalities (2007) (1)
GRADIENT AND HESSIAN ESTIMATES FOR DIRICHLET AND NEUMANN EIGENFUNCTIONS (2018) (1)
On the Spectrum of a Class of (Nonsymmetric) Diusion Operators (2002) (1)
Regularity Estimates for Invariant Probability Measure of SPDEs with Singular and Path-Dependent Drifts (2017) (1)
Functional inequalities for pure-jump Dirichlet forms (2015) (1)
GENERAL FORMULAE FOR THE LOWER BOUND OF THE FIRST TWO DIRICHLET EIGENVALUES (1999) (1)
Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump (2011) (0)
Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature (2020) (0)
Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups (2015) (0)
Estimates for invariant probability measures of degenerate SPDEs with singular and path-dependent drifts (2018) (0)
Gradient Estimates and Applications for SDEs in Hilbert Space with Multiplicative Noise and Log-H\"older Drif (2014) (0)
Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds (2018) (0)
PR ] 2 5 A ug 2 01 2 A Study of Diffusion Processes Generated by Kohn-Laplacian Type Operators ∗ (2012) (0)
Derivative Formula and Gradient Estimates for Gruschin Type Semigroups (2012) (0)
Image Dependent SDEs and Applications (2019) (0)
Diffusion Processes on Riemannian Manifolds without Boundary (2013) (0)
Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs (2016) (0)
Harnack Inequality and Applications for Stochastic Differential Equations with Jumps (2008) (0)
Semilinear Stochastic Partial Differential Equations (2013) (0)
Functional Inequalities for Stable-Like Dirichlet Forms (2013) (0)
Some recent progress on functional inequalities and applications (2011) (0)
Harnack Inequality and Applications for Infinite-Dimensional GEM Processes (2015) (0)
Stochastic Functional (Partial) Differential Equations (2013) (0)
PR ] 2 8 D ec 2 02 1 Singular Density Dependent Stochastic Differential Equations ∗ (2021) (0)
INTEGRABILITY CONDITIONS FOR SDES (2017) (0)
Communications in Mathematical Physics Invariance Implies Gibbsian : Some New Results (0)
Order preservation for multidimensional stochastic functional differential equations with jumps (2014) (0)
Russo, Francesco; Trutnau, Gerald About a construction and some analysis of time inhomogeneous diffusions on monotonely (2021) (0)
Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes (2018) (0)
A General Theory of Dimension-Free Harnack Inequalities (2013) (0)
Chapter 3 – Functional Inequalities and Essential Spectrum (2005) (0)
A link of stochastic differential equations to nonlinear parabolic equations (2012) (0)
Chapter 7 – Some Infinite Dimensional Models (2005) (0)
Harnack Inequalities for Semigroups with Non-Constant Diffusion Coefficients (2009) (0)
Gradient estimates and applications for Neumann semigroup on narrow strip (2015) (0)
PR ] 2 8 D ec 2 01 0 Equivalent Semigroup Properties for Curvature-Dimension Condition ∗ (2021) (0)
Singular Degenerate SDEs: Well-Posedness and Exponential Ergodicity (2023) (0)
Coupling and Strong Feller Property for Ornstein-Uhlenbeck Jump Processes (2010) (0)
Chapter 4 – Weak Poincaré Inequalities and Convergence of Semigroups (2005) (0)
Entropy Estimate Between Diffusion Processes and Application to McKean-Vlasov SDEs (2023) (0)
Partial Di ¤ erential Equations — A sharp Liouville theorem for elliptic operators 1 (2010) (0)
Weak Poincar´e Inequalities for Convergence Rate of Degenerate Diﬀusion Processes ∗ (2019) (0)
Asymptotic Formulas for Empirical Measures of (Reflecting) Diffusion Processes on Riemannian Manifolds (2019) (0)
(Quasi-)regular Dirichlet forms for particle systems on Polish spaces (2007) (0)
Itô type measure-valued stochastic differential equations (2007) (0)
Equivalent Properties for Non-Symmetric Markov Semigroup and its Symmetrization (2016) (0)
Gradient estimates and applications for Neumann semigroup on narrow strip (2014) (0)
Chapter 5 – Log-Sobolev Inequalities and Semigroup Properties (2005) (0)
Modified Curvatures on Manifolds with Boundary and Applications (2014) (0)
$\Phi$-Entropy Inequality and Invariant Probability Measure for SDEs with Jump (2013) (0)
Convergence in Wasserstein Distance for Empirical Measures of Non-Symmetric Subordinated Diffusion Processes (2023) (0)
Chapter 2 – Diffusion Processes on Manifolds and Applications (2005) (0)
Isoperimetric Inequalities for Non-Local Dirichlet Forms (2017) (0)
for the Second Fundamental Form (2010) (0)
PR ] 4 J ul 2 02 1 Distribution Dependent Reflecting Stochastic Differential Equations (2021) (0)
Chapter 0 – Preliminaries (2005) (0)
PR ] 4 M ay 2 01 8 Distribution Dependent SDEs with Singular Coefficients ∗ (2018) (0)
Second Order Bismut formulae and applications to Neumann semigroups on manifolds (2022) (0)
Dimension-Free Harnack Inequality and its Applications (2006) (0)
Subelliptic Diffusion Processes (2013) (0)
Asymptotic Spectral Formula for Empirical Measures of Diffusion Processes on Riemannian Manifolds (2019) (0)
Kantorovich inequalities under CD ( 0 , ∞ ) condition (2019) (0)
Hypercontractivity, Compactness, and Exponential Ergodicity for Functional Stochastic Differential Equations (2014) (0)
Measure-Valued Diffusions Diffusions à valeurs mesurées (Org: (2015) (0)
Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations (2016) (0)
PR ] 1 3 A ug 2 01 8 Gradient Estimates on Dirichlet and Neumann Eigenfunctions (2018) (0)
Nonlinear Monotone Stochastic Partial Differential Equations (2013) (0)
Chapter 1 – Poincaré Inequality and Spectral Gap (2005) (0)
Pointwise characterizations of curvature and second fundamental form on Riemannian manifolds (2018) (0)
Curvature Bounds, Obata Theorem, and Boundary Estimates for Dirichlet and Neumann Eigenproblems (2018) (0)
Reflecting Diffusion Processes on Manifolds with Boundary (2013) (0)
Harnack Inequalities and Applications for SDEs with Non-Additive Noise and Neumann Semigroup on Non-Convex Manifold (2009) (0)
Chapter 6 – Interpolations of Poincaré and Log-Sobolev Inequalities (2005) (0)
To appear in Potential Analysis. DIMENSION-INDEPENDENT HARNACK INEQUALITIES FOR SUBORDINATED SEMIGROUPS (2010) (0)
Stochastic Analysis on Path Space over Manifolds with Boundary (2013) (0)
Coupling by Change of Measure, Harnack Inequality and Hypercontractivity (2016) (0)
Functional inequalities for non-symmetric stochastic differential equations (2016) (0)

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