Michael Röckner | Academic Influence

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Michael Röckner

Mathematics

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#2028

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Measure Theory

#812

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#1075

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Mathematics

Michael Röckner's Degrees

PhD Mathematics University of Bonn

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According to Wikipedia, Michael Röckner is a mathematician working in the fields of Stochastic analysis and Mathematical Physics. He obtained his PhD at the University of Bielefeld in 1984 under the supervision of Sergio Albeverio and Christopher John Preston.

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Michael Röckner's Published Works

Number of citations in a given year to any of this author's works

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

A Concise Course on Stochastic Partial Differential Equations (2007) (1027)
Introduction to the theory of (non-symmetric) Dirichlet forms (1992) (969)
Strong solutions of stochastic equations with singular time dependent drift (2005) (437)
Stochastic Partial Differential Equations: An Introduction (2015) (346)
Analysis and Geometry on Configuration Spaces (1998) (267)
Stochastic differential equations in infinite dimensions: solutions via Dirichlet forms (1991) (256)
ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS (2001) (243)
Fokker-planck-kolmogorov Equations (2015) (218)
Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups (2001) (188)
Analysis and Geometry on Configuration Spaces: The Gibbsian Case☆ (1998) (160)
Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles (2007) (142)
Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipshitz reaction term (2004) (133)
Elliptic and parabolic equations for measures (2009) (129)
Random attractors for a class of stochastic partial differential equations driven by general additive noise (2010) (120)
Uniqueness of generalized Schrödinger operators and applications (1992) (113)
Harnack and functional inequalities for generalized Mehler semigroups (2003) (109)
Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications (1995) (107)
Classical dirichlet forms on topological vector spaces-the construction of the associated diffusion process (1989) (104)
Generalized Mehler semigroups and applications (1996) (100)
Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity (2005) (93)
Stochastic Porous Media Equations and Self-Organized Criticality (2008) (90)
Dirichlet Operators via Stochastic Analysis (1995) (87)
Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations (2010) (85)
Generalized Mehler Semigroups: The Non-Gaussian Case (2000) (79)
ON UNIQUENESS OF INVARIANT MEASURES FOR FINITE- AND INFINITE-DIMENSIONAL DIFFUSIONS (1999) (77)
Singular dissipative stochastic equations in Hilbert spaces (2002) (76)
Markov processes associated with semi-Dirichlet forms (1995) (75)
Stochastic tamed 3D Navier–Stokes equations: existence, uniqueness and ergodicity (2008) (73)
Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise (2010) (71)
Quasi-homeomorphisms of Dirichlet forms (1994) (71)
Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds (2003) (70)
Quasi-Regular Dirichlet Forms: Examples and Counterexamples (1995) (70)
A Milstein Scheme for SPDEs (2010) (69)
Stochastic nonlinear Schrödinger equations (2014) (69)
A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts (2001) (69)
Martingale solutions and Markov selections for stochastic partial differential equations (2009) (67)
Construction of diffusions on configuration spaces (2000) (67)
Non-monotone stochastic generalized porous media equations☆ (2008) (66)
The Global Random Attractor for a Class of Stochastic Porous Media Equations (2010) (66)
Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach (2014) (65)
Construction of diffusions on path and loop spaces of compact Riemannian manifolds (1992) (64)
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients (2018) (63)
Differential geometry of Poisson spaces (1996) (63)
Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles (2012) (63)
On Parabolic Equations for Measures (2008) (62)
Uniqueness of Generalized Schrödinger Operators, Part II (1994) (61)
Elliptic equations for measures on infinite dimensional spaces and applications (2001) (58)
Probabilistic Representation for Solutions to Nonlinear Fokker-Planck Equations (2018) (57)
Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise (2012) (57)
Weak solutions to stochastic porous media equations (2004) (57)
Markov Processes Associated With Positivity Preserving Coercive Forms (1995) (54)
Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions (2002) (52)
Elliptic equations for invariant measures on finite and infinite dimensional manifolds (2001) (52)
L p -analysis of finite and infinite dimensional diffusion operators (1999) (51)
Perturbations of Generalized Mehler Semigroups and Applications to Stochastic Heat Equations with Levy Noise and Singular Drift (2004) (50)
Dirichlet forms and generalized Schrödinger operators (1989) (50)
Uniqueness of solutions to weak parabolic equations for measures (2007) (50)
Ergodicity ofL2-Semigroups and Extremality of Gibbs States☆ (1997) (50)
Quasi-regular Dirichlet Forms and Markov Processes (1993) (49)
Ergodicity for the Stochastic Dynamics of Quasi-invariant Measures with Applications to Gibbs States☆ (1997) (49)
Regularity of Invariant Measures: The Case of Non-constant Diffusion Part (1996) (47)
An Analytic Approach to Fleming-Viot Processes with Interactive Selection (1995) (45)
Uniqueness of Gibbs states for quantum lattice systems (1997) (45)
Weak uniqueness of Fokker–Planck equations with degenerate and bounded coefficients (2010) (45)
The Statistical Mechanics of Quantum Lattice Systems: A Path Integral Approach (2009) (45)
A mild Itô formula for SPDEs (2010) (45)
Traces of harmonic functions and a new path space for the free quantum field (1988) (44)
On Partial Integration in Infinite-Dimensional Space and Applications to Dirichlet Forms (1990) (44)
DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS I: CONSTRUCTION AND QFT EXAMPLES (1989) (44)
Large deviations for invariant measures of stochastic reaction–diffusion systems with multiplicative noise and non-Lipschitz reaction term (2005) (43)
On a random scaled porous media equation (2011) (42)
Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives (2017) (42)
Elliptic regularity and essential self-adjointness of Dirichlet operators on $\mathbb {R}^n$ (1997) (42)
Markov processes associated with Lp-resolvents and applications to stochastic differential equations on Hilbert space (2006) (41)
Probabilistic representation for solutions of an irregular porous media type equation. (2008) (41)
Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces (2009) (41)
DIFFEOMORPHISM GROUPS AND CURRENT ALGEBRAS: CONFIGURATION SPACE ANALYSIS IN QUANTUM THEORY (1999) (41)
Distances between transition probabilities of diffusions and applications to nonlinear Fokker–Planck–Kolmogorov equations (2016) (41)
Construction of a rotational invariant diffusion on the free loop space (1993) (40)
Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term (2013) (39)
Karl Theodore Sturm: The geometric aspect of Dirichlet forms (1998) (38)
Existence of Solutions To Weak Parabolic Equations For Measures (2004) (37)
New Directions in Dirichlet Forms (1998) (37)
Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case (2008) (37)
Canonical dirichlet operator and distorted brownian motion on Poisson spaces (1996) (36)
Mehler formula and capacities for infinite-dimensional Ornstein-Uhlenbeck processes with general linear drift (1995) (36)
Fokker–Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces (2009) (36)
DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS II: CLOSABILITY AND DIFFUSION PROCESSES (1989) (36)
On uniqueness problems related to elliptic equations for measures (2011) (36)
Girsanov transform for symmetric diffusions with infinite dimensional state space (1993) (36)
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation (2012) (35)
Elliptic equations for measures : Regularity and global bounds of densities (2006) (34)
Uniqueness for Solutions of Fokker–Planck Equations on Infinite Dimensional Spaces (2010) (34)
Stochastic PDE's and Kolmogorov equations in infinite dimensions : lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, August 24- September 1, 1998 (1999) (34)
On uniqueness problems related to the Fokker–Planck–Kolmogorov equation for measures (2011) (34)
FINE TOPOLOGY METHODS IN REAL ANALYSIS AND POTENTIAL THEORY (Lecture Notes in Mathematics 1189) (1987) (34)
Uniqueness of the Stochastic Dynamics for Continuous Spin Systems on a Lattice (1995) (33)
Ergodicity for the Stochastic Quantization Problems on the 2D-Torus (2016) (33)
An approximate criterium of essential self-adjointness of Dirichlet operators (1992) (32)
Specifications and Martin boundaries forP(Φ)2-random fields (1986) (31)
Quasi-regular Dirichlet Forms and $L^p$-resolvents on Measurable Spaces (2006) (31)
A Note on Evolution Systems of Measures for Time-Dependent Stochastic Differential Equations (2007) (30)
Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump (2009) (30)
Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise (2012) (29)
Stochastic Nonlinear Diffusion Equations with Singular Diffusivity (2009) (29)
Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions (2011) (29)
Stochastic porous media equations in Rd (2015) (29)
General theory of Dirichlet forms and applications (1993) (28)
Generalized Markov fields and Dirichlet forms (1985) (28)
EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS (2002) (28)
A note on tightness of capacities associated with Dirichlet forms (1992) (26)
Invariant Measures for a Stochastic Porous Medium Equation (2004) (26)
GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH (2012) (25)
Averaging Principle and Normal Deviations for Multiscale Stochastic Systems (2020) (25)
Dimension-Independent Harnack Inequalities for Subordinated Semigroups (2010) (25)
A Dirichlet problem for distributions and specifications for random fields (1985) (25)
GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS (2001) (24)
GENERATORS OF MEHLER-TYPE SEMIGROUPS AS PSEUDO-DIFFERENTIAL OPERATORS (2002) (24)
Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs (2019) (24)
Existence and Uniqueness of Invariant Measures: An Approach via Sectorial Forms (2000) (24)
Regularity of invariant measures for a class of perturbed Ornstein-Uhlenbeck operators (1996) (23)
From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces (2011) (23)
Scattering for Stochastic Nonlinear Schrödinger Equations (2018) (23)
Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes (2008) (22)
A Priori Estimates for Symmetrizing Measures and Their Applications to Gibbs States (2000) (22)
Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems (2019) (22)
Stochastic analysis on configuration spaces: basic ideas and recent results (1998) (21)
Strong uniqueness for stochastic evolution equations in Hilbert spaces with bounded measurable drift (2011) (20)
N/V-limit for stochastic dynamics in continuous particle systems (2005) (20)
Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations (2015) (20)
Small Mass Implies Uniqueness of Gibbs States of a Quantum Crystal (2003) (19)
Uniqueness of invariant measures and maximal dissipativity of diffusion operators on L¹ (1999) (19)
Parabolic equations for measures on infinite-dimensional spaces (2008) (19)
Poincaré Inequality for Weighted First Order Sobolev Spaces on Loop Spaces (2001) (19)
Dissipative stochastic equations in Hilbert space with time dependent coefficients (2006) (19)
STRONG AND WEAK CONVERGENCE IN THE AVERAGING PRINCIPLE FOR SDES WITH HÖLDER COEFFICIENTS (2019) (18)
Regularization of Dirichlet spaces and applications (1992) (18)
Non-symmetric Dirichlet forms and Markov processes on general state space (1992) (18)
On the Ambrosio–Figalli–Trevisan Superposition Principle for Probability Solutions to Fokker–Planck–Kolmogorov Equations (2019) (18)
Some Results on Stochastic Porous Media Equations (2008) (17)
Nonlinear evolution and transport equations for measures (2009) (17)
Markov property of generalized fields and axiomatic potential theory (1983) (17)
Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities (2011) (16)
Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces (2019) (16)
Infinite interacting diffusion particles I: Equilibrium process and its scaling limit (2003) (16)
An Invariance Result for Capacities on Wiener Space (1992) (16)
Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach (2007) (16)
A Remark on Coercive Forms and Associated Semigroups (1995) (16)
Superposition principle for non-local Fokker–Planck–Kolmogorov operators (2020) (16)
Quantum stabilization in anharmonic crystals. (2003) (16)
Wilfrid S. Kendall: From stochastic parallel transport to harmonic maps (1998) (16)
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift (2013) (16)
Uniqueness Problems for Degenerate Fokker–Planck–Kolmogorov Equations (2015) (15)
Invariance Implies Gibbsian: Some New Results (2004) (15)
Uniqueness for Gibbs measures of quantum lattices in small mass regime (2001) (15)
The stochastic logarithmic Schrödinger equation (2015) (15)
Euclidean Gibbs measures on loop lattices: Existence and a priori estimates (2004) (14)
Invariant measures of generalized stochastic porous medium equations (2004) (14)
The Heat Semigroup on Configuration Spaces (2002) (14)
On the Transition Function of the Infinite Dimensional Ornstein-Uhlenbeck Process Given by the Free Quantum Field (1988) (14)
LARGE DEVIATIONS FOR STOCHASTIC REACTION–DIFFUSION SYSTEMS WITH MULTIPLICATIVE NOISE AND NON-LIPSCHITZ REACTION TERM1 BY SANDRA CERRAI (2004) (14)
Finite dimensional approximation of diffusion processes on infinite dimensional spaces (1996) (14)
Stochastic Quantization of the Two-Dimensional Polymer Measure (1999) (14)
Local property of Dirichlet forms and diffusions on general state spaces (1993) (14)
Invariant Measures of Diffusion Processes: Regularity, Existence, and Uniqueness Problems (2002) (13)
Partitions of Unity in Sobolev Spaces over Infinite Dimensional State Spaces (1997) (13)
Euclidean Gibbs States of Quantum Crystals (2001) (13)
Convergence of operators semigroups generated by elliptic operators (1997) (13)
The Stochastic Porous Media Equations in R (2013) (13)
Scaling limit of stochastic dynamics in classical continuous systems (2002) (13)
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients (2019) (13)
On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems (1999) (13)
Geometric aspects of finite and infinite-dimensional Fleming-Viot processes (1997) (12)
The martingale problem for pseudo-differential operators on infinite-dimensional spaces (1999) (12)
Non-symmetric distorted Brownian motion: strong solutions and non-explosion results (2015) (12)
The Poisson Equation and Estimates for Distances Between Stationary Distributions of Diffusions (2018) (12)
On uniqueness of solutions to the Cauchy problem for degenerate Fokker–Planck–Kolmogorov equations (2013) (12)
Approximation of arbitrary Dirichlet processes by Markov chains (1998) (12)
SPDE in hydrodynamic : recent progress and prospects : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, August 29-September 3, 2005 (2008) (11)
On the contraction property of energy forms on infinite-dimensional space (1990) (11)
Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms (2017) (11)
Linearization of nonlinear Fokker-Planck equations and applications (2019) (10)
A Break of the Complexity of the Numerical Approximation of Nonlinear SPDEs with Multiplicative Noise (2010) (10)
Elliptic equations for infinite dimensional probability distributions and Lyapunov functions (1999) (10)
General extinction results for stochastic partial differential equations and applications (2011) (10)
Addendum to the paper “an approximate criterium of essential self-adjointness of Dirichlet operators” (1993) (10)
Positive Densities of Transition Probabilities of Diffusion Processes (2009) (10)
Convergent numerical approximation of the stochastic total variation flow (2019) (9)
HYPOELLIPTICITY AND INVARIANT MEASURES OF INFINITE DIMENSIONAL DIFFUSIONS (1994) (9)
A-priori estimates and existence of Gibbs measures: a simplified proof (1999) (9)
Dirichlet Forms on Infinite-Dimensional ‘Manifold-Like’ State Spaces: A Survey of Recent Results and Some Prospects for the Future (1998) (9)
Time inhomogeneous generalized Mehler semigroups and skew convolution equations (2016) (9)
Characterization of (non-symmetric) semi-Dirichlet forms associated with Hunt processes (1995) (8)
A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations (2004) (8)
Existence and A Priori Estimates for Euclidean Gibbs States (2006) (8)
Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus (2020) (8)
Cores for generators of some Markov semigroups (2011) (8)
Well-posedness and ergodicity for stochastic reaction-diffusion equations with multiplicative Poisson noise (2009) (8)
A remark on the support of cadlag processes (1993) (8)
Existence Results for Fokker–Planck Equations in Hilbert Spaces (2011) (7)
Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications (2000) (7)
Singular dissipative stochastic equations in Hilbert spaces (2002) (7)
Infinite Dimensional Diffusions, Markov Fields, Quantum Fields and Stochastic Quantization (1994) (7)
Dirichlet Forms on Infinite Dimensional State Space and Applications (1992) (7)
GAUSS FORMULA AND SYMMETRIC EXTENSIONS OF THE LAPLACIAN ON CONFIGURATION SPACES (2001) (7)
Gibbs states on loop lattices: existence and a priori estimates (2001) (7)
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise (2016) (7)
On the Existence of the Dual Right Markov Process and Applications (2015) (7)
On dirichlet forms on topological vector spaces: Existence and maximality (1989) (7)
On the Parabolic Martin Boundary of the Ornstein-Uhlenbeck Operator on Wiener Space (1992) (7)
Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities (2016) (7)
The Dirichlet Problem for Quasi-Linear Partial Differential Operators with Boundary Data Given by a Distribution (1990) (7)
Localization of solutions to stochastic porous media equations: finite speed of propagation (2012) (7)
Uniqueness of Gibbs states on loop lattices (1997) (6)
Fokker–Planck Equations for SPDE with Non-trace-class Noise (2013) (6)
Uniqueness for a class of stochastic Fokker–Planck and porous media equations (2016) (6)
Equilibrium Glauber and Kawasaki dynamics of continuous particle systems (2005) (6)
Gibbs states of a quantum crystal: uniqueness by small particle mass (2002) (6)
Jürgen Jost: Nonlinear Dirichlet forms (1998) (6)
Uniqueness of diffusion generators for two types of particle systems with singular interactions (2004) (6)
A REMARK ON THE GENERATOR OF A RIGHT-CONTINUOUS MARKOV PROCESS (2007) (6)
Capacities on Wiener space : tightness and invariance (1991) (6)
NONLINEAR EVOLUTION EQUATIONS FOR MEASURES ON INFINITE DIMENSIONAL SPACES (2009) (6)
CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS (2007) (5)
Selfadjoint harmonic spaces and Dirichlet forms (1984) (5)
DIRICHLET OPERATORS AND GIBBS MEASURES (1994) (5)
Differentiability of the invariant measures and transition probabilities of singular diffusions (2001) (5)
A natural extension of Markov processes and applications to singular SDEs (2019) (5)
A remark on global solutions to random 3D vorticity equations for small initial data (2018) (5)
On the Spectrum of a Class of Non‐Sectorial Diffusion Operators (2004) (5)
Umberto Mosco: Dirichlet forms and self-similarity (1998) (5)
On Convergence to Stationary Distributions for Solutions of Nonlinear Fokker–Planck–Kolmogorov Equations (2019) (5)
On L^p-uniqueness of symmetric diffusion operators on Riemannian manifolds (2003) (5)
Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces (2019) (5)
On parabolic inequalities for generators of diffusions with jumps (2014) (5)
Lower estimates of densities of solutions of elliptic equations for measures (2009) (5)
Regularity and global bounds of densities of invariant measures of diffusion processes (2005) (5)
A new approach to Kolmogorov equations in infinite dimensions and applications to the stochastic 2D Navier–Stokes equation (2007) (5)
Nonlinear Fokker-Planck Equations with Time-Dependent Coefficients (2021) (5)
Decomposition of Dirichlet processes on Hilbert space (1991) (4)
Absolutely continuous solutions for continuity equations in Hilbert spaces (2017) (4)
Compact excessive functions and Markov processes: a general case and applications (Proceedings of RIMS Workshop on Stochastic Analysis and Applications) (2008) (4)
Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions (2001) (4)
PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS (2011) (4)
Michael Röckner: Stochastic analysis on configuration spaces: Basic ideas and recent results (1998) (4)
Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices (2005) (4)
A REMARK ON SETS IN INFINITE DIMENSIONAL SPACES WITH FULL OR ZERO CAPACITY (2005) (4)
DIRICHLET OPERATORS WITH VARIABLE COEFFICIENTS IN Lp-SPACES OF FUNCTIONS OF INFINITELY MANY VARIABLES COEFFICIENTS (1999) (4)
Stochastic processes and optimal control (1993) (4)
FLUCTUATIONS AND THEIR GLAUBER DYNAMICS IN LATTICE SYSTEMS (1999) (4)
Kusuoka–Stroock Formula on Configuration Space and Regularities of Local Times with Jumps (2007) (4)
Surface Measures and Tightness of (r,p)-Capacities on Poisson Space (2002) (4)
Addendum to : “ Stochastic nonlinear diffusion equations with singular diffusivity ” (2012) (3)
The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise (2013) (3)
BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space (2010) (3)
An analytic approach to Kolmogorov’s equations in infinite dimensions and probabilistic consequences (2006) (3)
Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach (2003) (3)
Homogenization of Diffusions on the Lattice Zd with Periodic Drift Coefficients, Applying a Logarithmic Sobolev Inequality or a Weak Poincaré Inequality (2007) (3)
Markov Processes and Dirichlet Forms (1992) (3)
Non-time-homogeneous Generalized Mehler Semigroups and Applications (2010) (3)
A Remark on Stochastic Dynamics on the Infinite-Dimensional Torus (1995) (3)
On diffusion dynamics for continuous systems with singular superstable interaction (2004) (3)
L1–THEORY FOR THE KOLMOGOROV OPERATORS OF STOCHASTIC GENERALIZED BURGERS EQUATIONS (2004) (3)
Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility (2000) (3)
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces (2018) (3)
Homogenization of infinite dimensional diffusion processes with periodic drift coefficients (2004) (3)
Differentiability of invariant measures and transient probabilities of singular diffusions (2001) (3)
Large deviations for invariant measures of general stochastic reaction-diffusion systems (2003) (2)
Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure (2017) (2)
On weak parabolic equations for probability measures (2002) (2)
Analytic Potential Theory of Dirichlet Forms (1992) (2)
Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations (2022) (2)
Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions (2019) (2)
Recent developments in stochastic analysis and related topics : proceedings of the First Sino-German Conference on Stochasic Analysis (A Satellite Conference of ICM 2002) Beijing, China 29 August-3 September 2002 (2004) (2)
Scattering Problem for Local Perturbations\newline of the Free Quantum Gas (1999) (2)
Dirichlet Forms and Markov Fields—A Report on Recent Developments (1990) (2)
Functional Inequalities for Particle Systems on Polish Spaces (2005) (2)
Uniquess of solutions to Fokker–Planck–Kolmogorov equations (2015) (2)
On a Class of Infinite-Dimensional Singular Stochastic Control Problems (2019) (2)
Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions (2012) (2)
A homeomorphism relating path spaces of stochastic processes with values in ℝℤ respectively (S1)ℤ (2014) (2)
Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimates (2005) (2)
Local/global existence and uniqueness of solutions for SPDE with generalized coercivity condition (2012) (2)
Lower order perturbations of Dirichlet processes (2003) (2)
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution (2014) (2)
Markov processes associated with Lp-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations (2008) (1)
Dirichlet forms and stochastic processes : proceedings of the international conference held in Beijing, China, October 25-31, 1993 (1995) (1)
Potential theory on non-locally compact space via Dirichlet forms (1992) (1)
A Milstein Scheme for SPDEs (2015) (1)
Ergodicity for the Stochastic Quantization Problems on the 2D-Torus (2017) (1)
$L^P$-uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients (2001) (1)
Convergent numerical approximation of the stochastic total variation flow (2020) (1)
Potential theory of innite dimensional L evy processes (2010) (1)
Surface measures and tightness of sobolev capacities on poisson spacer (2002) (1)
On the Superposition Principle for Fokker–Planck–Kolmogorov Equations (2019) (1)
Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs (2020) (1)
Stochastic Generalized Porous Media Equations over σ-finite Measure Spaces with Non-continuous Nonlinearity (2021) (1)
PROBABILISTIC REPRESENTATIONS AND HYPERBOUND ESTIMATES FOR SEMIGROUPS (1999) (1)
On the Ambrosio–Figalli–Trevisan Superposition Principle for Probability Solutions to Fokker–Planck–Kolmogorov Equations (2020) (1)
SDEs in Infinite Dimensions and Applications to SPDEs (2015) (1)
Global gradient bounds for dissipative diffusion operators (2004) (1)
Functional Analytic Background (1992) (1)
Well posedness of Fokker–Planck equations for generators of time-inhomogeneous Markovian transition probabilities (2012) (1)
Ornstein–Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities (2018) (1)
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations (2020) (1)
PDE APPROACH TO INVARIANT AND GIBBS MEASURES WITH APPLICATIONS (2005) (1)
The Stochastic Porous Media Equations in $$\mathbb{R}^{d}$$ (2016) (1)
Existence of absolutely continuous solutions for continuity equations in Hilbert spaces (2017) (1)
Invariant measures of stochastic gradient systems in Riemannian manifolds and gibbs measures (2002) (1)
Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term (2014) (0)
Applications of Zvonkin’s Transform to Stationary Kolmogorov Equations (2022) (0)
Erratum and Addentum to: “Singular dissipative stochastic equations in Hilbert spaces” (2008) (0)
New Prize " Ems Monograph Award " by the Ems Publishing House European Mathematical Society Editor-in-chief Copy Editor (2013) (0)
ERRATUM: (cid:17)CONVERGENT NUMERICAL APPROXIMATION OF THE STOCHASTIC TOTAL VARIATION FLOW(cid:17) (2022) (0)
Fokker–Planck Equations for SPDE with Non-trace-class Noise (2013) (0)
Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure (2020) (0)
Weak well-posedness of SDEs with drifts in critical spaces. (2020) (0)
On uniqueness of solutions to the Cauchy problem for degenerate Fokker–Planck–Kolmogorov equations (2013) (0)
On the Strong Feller Property of the Semigroups Generated by Non-divergence Operators with Lp-Drift (1998) (0)
PR ] 2 2 D ec 2 00 5 Quasiregular topologies for L p-resolvents and semi-Dirichlet forms (2005) (0)
Existence of Invariant Measures for Diffusion Processes on Banach Spaces (1999) (0)
Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift (2014) (0)
Scattering for Stochastic Nonlinear Schrödinger Equations (2019) (0)
Characterization of Particular Processes (1992) (0)
Superposition principle for non-local Fokker–Planck–Kolmogorov operators (2020) (0)
On parabolic inequalities for generators of diffusions with jumps (2013) (0)
New Prize " Ems Monograph Award " by the Ems Publishing House European Mathematical Society Editor-in-chief Copy Editor (2013) (0)
Regularization of ordinary and partial differential equations by noise (2012) (0)
Stochastic Dynamics of Fluctuations in Classical Continuous Systems (2001) (0)
1 A mild Itô formula for SPDEs (2010) (0)
Existence of solutions (2015) (0)
Lower order perturbations of Dirichlet processes M.Röckner T.S.Zhang (0)
A P ] 2 3 A ug 2 01 9 STRONG DISSIPATIVITY OF GENERALIZED TIME-FRACTIONAL DERIVATIVES AND QUASI-LINEAR ( STOCHASTIC ) PARTIAL DIFFERENTIAL EQUATIONS (2019) (0)
A universal framework of the homogenization problem of infinite dimensional diffusions (Stochastic Analysis of Jump Processes and Related Topics) (2010) (0)
A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise (2017) (0)
RESTORATION OF WELL-POSEDNESS OF INFINITE-DIMENSIONAL SINGULAR ODE ’ S VIA NOISE (2019) (0)
A P ] 1 1 A ug 2 01 9 STRONG DISSIPATIVITY OF GENERALIZED TIME-FRACTIONAL DERIVATIVES AND QUASI-LINEAR ( STOCHASTIC ) PARTIAL DIFFERENTIAL EQUATIONS (2019) (0)
Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions (2019) (0)
PR ] 1 1 A ug 2 02 0 DIFFUSION APPROXIMATION FOR FULLY COUPLED STOCHASTIC DYNAMICAL SYSTEMS (2019) (0)
Current trends in potential theory : conference proceedings Bucharest(Romania), September 2002 and 2003 (2005) (0)
NON-AUTONOMOUS MILD SOLUTIONS FOR SPDE WITH LEVY NOISE IN WEIGHTED L-SPACES (2012) (0)
MEAN-FIELD ANALYSIS OF INDUSTRY DYNAMICS UNDER FINANCIAL CONSTRAINTS (2021) (0)
Harnack Inequalities and Applications for Ornstein–Uhlenbeck Semigroups with Jump (2011) (0)
PR ] 2 7 A pr 2 01 8 SCATTERING FOR STOCHASTIC NONLINEAR SCHRÖDINGER EQUATIONS (0)
Global properties of densities (2015) (0)
Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise (2013) (0)
SDEs in Finite Dimensions (2015) (0)
Dirichlet Form Theory and its Applications (2014) (0)
L1-UNIQUENESS ON MEASURABLE STATE SPACES: A CLASS OF EXAMPLES (2000) (0)
Parabolic Harnack inequalities and lower bounds (2015) (0)
A note on the ergodicity of Fokker–Planck ﬂows in L 1 ( R d ) (2022) (0)
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution (2014) (0)
Sample Path Large Deviations for Diffusion Processes on Configuration Spaces over a Riemannian Manifold (2004) (0)
Convergence to Stationary Measures in Nonlinear Fokker–Planck–Kolmogorov Equations (2018) (0)
L1-Based Approach to Existence Theory for Stochastic Porous Media Equations (2016) (0)
On the Existence of the Dual Right Markov Process and Applications (2014) (0)
Global parabolic regularity and upper bounds (2015) (0)
Motivation, Aims and Examples (2015) (0)
Uniqueness Problems for Degenerate Fokker–Planck–Kolmogorov Equations (2015) (0)
Communications in Mathematical Physics Invariance Implies Gibbsian : Some New Results (0)
Martingale decomposition of Dirichlet processes on the Banach space C0[0, 1] (1996) (0)
R. M. Dudley Real analysis and probability (Wadsworth and Brooks/Cole Mathematics Series, Pacific Grove, California, 1989), xii + 436 pp. 0 534 10050 3, $52.95. (1990) (0)
The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion) (2015) (0)
P R ] 9 S ep 2 01 4 Stochastic Porous Media Equations in R d Equations de milieux poreux dans R d (2014) (0)
N ov 2 01 6 Non-symmetric distorted Brownian motion : strong solutions , strong Feller property and non-explosion results (2018) (0)
PR ] 3 0 Ju l 2 01 9 Continuity equation in LlogL for the 2 D Euler equations under the enstrophy measure (2019) (0)
Diffusion approximation for fully coupled stochastic dynamical systems (2020) (0)
9th International Conference on Stochastic Analysis and its Applications (2018) (0)
Estimates of distances between transition probabilities of diffusions (2016) (0)
Estimates of distances between transition probabilities of diffusions (2016) (0)
Convergence to Stationary Measures in Nonlinear Fokker–Planck–Kolmogorov Equations (2018) (0)
Kolmogorov operators and SPDEs (2019) (0)
Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach (2014) (0)
Potential theory and stochastics in Albac : Aurel Cornea memorial volume : conference proceedings Albac, September 4-8, 2007 (2009) (0)
Parabolic Fokker–Planck–Kolmogorov equations (2015) (0)
Variational solutions to nonlinear stochastic differential equations in Hilbert spaces (2018) (0)
Procedings of the conference on Dirichlet forms and stochastic processes (1993) (0)
SPDEs with Locally Monotone Coefficients (2015) (0)
PR ] 1 0 Ju l 2 01 9 ABSOLUTELY CONTINUOUS SOLUTIONS FOR CONTINUITY EQUATIONS IN HILBERT SPACES (0)
Conservative stochastic two-dimensional Cahn–Hilliard equation (2021) (0)
Equations with Maximal Monotone Nonlinearities (2016) (0)
PR ] 2 O ct 2 01 8 SCATTERING FOR STOCHASTIC NONLINEAR SCHRÖDINGER EQUATIONS (2018) (0)
Equations with Lipschitz Nonlinearities (2016) (0)
Stochastic Porous Media Equations in R Equations de milieux poreux dans R (2014) (0)
Potential theory of positivity preserving forms without capacity (1993) (0)
A pr 2 01 9 ON A CLASS OF INFINITE-DIMENSIONAL SINGULAR STOCHASTIC CONTROL PROBLEMS (0)
To appear in Potential Analysis. DIMENSION-INDEPENDENT HARNACK INEQUALITIES FOR SUBORDINATED SEMIGROUPS (2010) (0)
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation (2012) (0)
Variational Approach to Stochastic Porous Media Equations (2016) (0)
Uniqueness for a class of stochastic Fokker–Planck and porous media equations (2016) (0)
The infinite-dimensional case (2015) (0)
The Poisson Equation and Estimates for Distances Between Stationary Distributions of Diffusions (2018) (0)

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