Research Papers

Dean-Kawasaki Dynamics: Ill-Posedness vs. Triviality (with Tobias Lehmann and Vitalii Konarovskyi, preprint)

Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line (with Vitalii Konarovskyi, preprint)

Couplings, Gradient Estimates and Logarithmic Sobolev Inequality for Langevin Bridges (with Giovianni Conforti, to appear in PTRF)

Modified Arratia Flow and Wasserstein Diffusion (with Vitalii Konarovskyi, to appear in CPAM)

Weak Solutions for a stochastic mean curvature flow of two-dimensional graphs (with Martina Hofmanova and Matthias Röger, appeared in PTRF)

Averaging Principle For Diffusion Processes via Dirichlet Forms (with Florent Barret, appeared in Potential Analysis)

On the Lagrangian Structure of Quantum Fluid Models
(with Philipp Fuchs and Ansgar Juengel, appeared in Disc. Cont. Dyn. Syst.)

On an EVI Curve Characterization of Hilbert Spaces
(with Jonas Toelle, appeared in J. Math. Anal. Appl.)

Estimates for the Ergodic Measure and Polynomial Stability of Plane Stochastic Curve Shortening Flow
(with Abdelhadi Es-Sarhir and Wilhelm Stannat, appeared in Nonlin. Diff. Eq. Appl. (NDEA))

Harnack Inequality for Functional SDEs with Bounded Memory
(with Michael Scheutzow and Abdelhadi Es-Sarhir, appeared in Electr. Comm. Prob.)

Ergodicity of Stochastic Curve Shortening Flow in the Plane
(with Abdelhadi Es-Sarhir, appeared in SIAM J. Math. Analysis )

Uniqueness and Regularity for a System of Interacting Bessel Processes via the Muckenhoupt Condition
(with Sebastian Andres, appeared in Trans. Amer. Math. Soc. )

Existence and Uniqueness of Solutions of Stochastic Functional Differential Equations
(with Michael Scheutzow, appeared in Rand. Operat. Stoch. Eq.)

Evolution by Mean Curvature Flow in Sub-Riemannian Geometries: A Stochastic Approach
(with Federica Dragoni and Nicolas Dirr, appeared in Comm. Pure Appl. Anal. )

An Optimal Transport View on Schroedinger's Equation
(appeared in Canad. Math. Bull.)

Particle Approximation of the Wasserstein Diffusion
(with Sebastian Andres, appeared in J. Functional Analysis)

Quasi-Invariance Properties of a Class of Subordinators
(with Marc Yor and Lorenzo Zambotti, appeared in Stoch. Proc. Appl.)

Entropic Measure and Wasserstein Diffusion
(with Karl-Theodor Sturm, appeared in Ann. Prob.)

Two Remarks on Completely Random Priors
(unpublished, 2005)

On Local Poincare via Transportation
(appeared in Math. Z.)

Transport Inequalities, Gradient Estimate, Entropy and Ricci Curvature
(with Karl-Theodor Sturm,  appeared in Comm. Pure Appl. Math.)

Comparison Properties of Diffusion Semigroups on Spaces with lower Curvature Bounds
Bonner Mathematische Schriften No. 355

Inrinsic Coupling on Riemannian Manifolds and Polyhedra
(appeared Electronic Journal of Probability)

Heat Kernel and Diffusion Process Comparison on Alexandrov Spaces
(appeared in Potential Analysis)

Counterexample for Hencky-Plasticity in the Case of a Thin Plate under Vertical Load
(appeared in Journal of Mathematical Sciences)