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(unpublished, 2005)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)
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