M. Röckner

Most-cited papers

From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE
V. Barbu, M. Röckner
2018Annals of Probability138 citations Open access
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Strong convergence order for slow–fast McKean–Vlasov stochastic differential equations
M. Röckner, Xiao-Bin Sun, Yingchao Xie
2019Annales De L Institut Henri Poincare-probabilites Et Statistiques86 citations Open access
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Averaging Principle and Normal Deviations for Multiscale Stochastic Systems
M. Röckner, Long-Jie Xie
2020Communications in Mathematical Physics65 citations Open access
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Diffusion approximation for fully coupled stochastic differential equations
M. Röckner, Long-Jie Xie
202064 citations Open access
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Solutions for nonlinear Fokker–Planck equations with measures as initial data and McKean-Vlasov equations
V. Barbu, M. Röckner
2020Journal of Functional Analysis62 citations Open access
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Well-posedness of stochastic partial differential equations with fully local monotone coefficients
M. Röckner, Shi-Jie Shang, Tu-Sheng Zhang
2022Mathematische Annalen60 citations Open access
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On the Ambrosio–Figalli–Trevisan Superposition Principle for Probability Solutions to Fokker–Planck–Kolmogorov Equations
V. Bogachev, M. Röckner, S. Shaposhnikov
201952 citations Open access
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Strong Convergence of Propagation of Chaos for McKean-Vlasov SDEs with Singular Interactions
Zi-Mo Hao, M. Röckner, Xi-Cheng Zhang
2022SIAM Journal on Mathematical Analysis47 citations Open access
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SDEs with critical time dependent drifts: Weak solutions
M. Röckner, Guo-Huan Zhao
2020Bernoulli44 citations Open access
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SDEs with critical time dependent drifts: strong solutions
M. Röckner, Guo-Huan Zhao
2021Probability theory and related fields43 citations Open access
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Uniqueness for nonlinear Fokker–Planck equations and for McKean–Vlasov SDEs: The degenerate case
V. Barbu, M. Röckner
2022Journal of Functional Analysis40 citations Open access
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Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs
V. Barbu, M. Röckner
2019Stochastics and Partial Differential Equations: Analysis and Computations40 citations Open access
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Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients
Wei Liu, M. Röckner, Xiao-Bin Sun, Yingchao Xie
2019Applied Mathematics and Optimization38 citations Open access
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The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation
V. Barbu, M. Röckner
2019Indiana University Mathematics Journal38 citations Open access
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Superposition principle for non-local Fokker–Planck–Kolmogorov operators
M. Röckner, Long-Jie Xie, Xi-Cheng Zhang
202036 citations
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Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems
M. Nendel, M. Röckner
2019SIAM Journal of Control and Optimization35 citations Open access
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Linearization of nonlinear Fokker-Planck equations and applications
Pan-Pan Ren, M. Röckner, Feng-Yu Wang
2019Journal of Differential Equations32 citations Open access
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Euler scheme for density dependent stochastic differential equations
Zi-Mo Hao, M. Röckner, Xi-Cheng Zhang
202028 citations Open access
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Operator semigroups in the mixed topology and the infinitesimal description of Markov processes
B. Goldys, M. Nendel, M. Röckner
2022Journal of Differential Equations26 citations Open access
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Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts
V. Barbu, M. Röckner
2024Lecture notes in mathematics24 citations
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Schauder theorems for a class of (pseudo‐)differential operators on finite‐ and infinite‐dimensional state spaces
A. Lunardi, M. Röckner
2019Journal of the London Mathematical Society24 citations Open access
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Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations
Wei Liu, M. Röckner, José Luís da Silva
201922 citations Open access
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Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations
V. Bogachev, M. Röckner, S. Shaposhnikov
2022Communications in Partial Differential Equations21 citations Open access
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STRONG AND WEAK CONVERGENCE IN THE AVERAGING PRINCIPLE FOR SDES WITH HÖLDER COEFFICIENTS
M. Röckner, Xiao-Bin Sun, Long-Jie Xie
201919 citations
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On Nonlinear Markov Processes in the Sense of McKean
Marco Rehmeier, M. Röckner
2022Journal of theoretical probability18 citations Open access
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Propagation of Chaos for Moderately Interacting Particle Systems Related to Singular Kinetic McKean–Vlasov SDEs
Zi-Mo Hao, Jean-François Jabir, Stéphane Menozzi, M. Röckner +1 more
2024SIAM Journal on Mathematical Analysis15 citations Open access
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Convergent numerical approximation of the stochastic total variation flow
L. Baňas, M. Röckner, André Wilke
2019Stochastics and Partial Differential Equations: Analysis and Computations15 citations Open access
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Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lévy noise
V. Barbu, M. Röckner
2022Probability theory and related fields14 citations Open access
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Averaging principle for stochastic complex Ginzburg-Landau equations
Meng-Bi Cheng, Zhen-Xin Liu, M. Röckner
2022Journal of Differential Equations14 citations Open access
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The three-dimensional stochastic Zakharov system
Sebastian Herr, M. Röckner, Martin Spitz, Deng Zhang
2023Annals of Probability13 citations Open access
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Nonlinear Fokker-Planck Equations with Time-Dependent Coefficients
V. Barbu, M. Röckner
2021SIAM Journal on Mathematical Analysis13 citations Open access
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On Convergence to Stationary Distributions for Solutions of Nonlinear Fokker–Planck–Kolmogorov Equations
V. I. Bogachev, M. Röckner, S. Shaposhnikov
2019Journal of Mathematical Sciences12 citations
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Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication
Seung-Yeal Ha, Jinwook Jung, M. Röckner
201911 citations Open access
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Uniqueness of distributional solutions to the 2D vorticity Navier–Stokes equation and its associated nonlinear Markov process
V. Barbu, M. Röckner, Deng Zhang
2023Journal of the European Mathematical Society (Print)10 citations Open access
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The invariance principle for nonlinear Fokker–Planck equations
V. Barbu, M. Röckner
2021Journal of Differential Equations10 citations Open access
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Strong and weak convergence in the averaging principle for SDEs with H\"older coefficients.
M. Röckner, Xiao-Bin Sun, Long-Jie Xie
201910 citations
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Correction to: Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean-Vlasov SDEs
V. Barbu, M. Röckner
2021Stochastics and Partial Differential Equations: Analysis and Computations9 citations Open access
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Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces
V. Barbu, M. Röckner, Deng Zhang
2019SIAM Journal of Control and Optimization9 citations Open access
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Strong Feller semigroups and Markov processes: a counterexample
L. Beznea, I. Cîmpean, M. Röckner
2022Stochastics and Partial Differential Equations: Analysis and Computations8 citations Open access
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A natural extension of Markov processes and applications to singular SDEs
L. Beznea, I. Cîmpean, M. Röckner
20197 citations Open access
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Superposition principle for non-local Fokker-Planck operators
M. Röckner, Long-Jie Xie, Xi-Cheng Zhang
20197 citations
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Second-order fractional mean-field SDEs with singular kernels and measure initial data
Zi-Mo Hao, M. Röckner, Xi-Cheng Zhang
2026Annals of Probability6 citations Open access
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Multi solitary waves to stochastic nonlinear Schrödinger equations
M. Röckner, Yi-Ming Su, Deng Zhang
2023Probability theory and related fields6 citations Open access
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Conservative stochastic two-dimensional Cahn–Hilliard equation
M. Röckner, Huanyu Yang, Rong-Chan Zhu
2021The Annals of Applied Probability6 citations Open access
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Introduction to Stochastic Analysis
M. Röckner
2020Lectures on Mathematical Finance and Related Topics6 citations Open access
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A Markov process for an infinite interacting particle system in the continuum
Y. Kozitsky, M. Röckner
2019Electronic Journal of Probability6 citations Open access
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On the Ambrosio–Figalli–Trevisan Superposition Principle for Probability Solutions to Fokker–Planck–Kolmogorov Equations
V. Bogachev, M. Röckner, S. Shaposhnikov
2020Journal of Dynamics and Differential Equations5 citations Open access
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Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations
M. Röckner, Long-Jie Xie, Li Yang
2020Stochastics and Partial Differential Equations: Analysis and Computations5 citations Open access
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Conservative stochastic 2-dimensional Cahn-Hilliard equation
M. Röckner, Huanyu Yang, Rong-Chan Zhu
20185 citations
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Nonlinear Fokker–Planck–Kolmogorov equations as gradient flows on the space of probability measures
Marco Rehmeier, M. Röckner
2023Journal of evolution equations (Printed ed.)4 citations Open access
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