45 citations · 79 across the 13 of their papers we have counts for
15 papers
Dynamical Optimal Transport with -Invariance: From Theory to Computation
Kevine Meugang Toukam, Max von Renesse, Johannes Storn
We introduce a modified Benamou--Brenier (MBB) formulation of optimal transport that incorporates Euclidean invariance at the dynamical level. We establish existence of minimizers…
A Central Limit Theorem for Modified Massive Arratia Flow
Andrey Dorogovtsev, Vitalii Konarovskyi, Max von Renesse
The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a cen…
Functional Inequalities for Brownian Motion on Riemannian Manifolds with Sticky-Reflecting Boundary Diffusion
Marie Bormann, Max von Renesse, Feng-Yu Wang
We prove geometric upper bounds for the Poincaré and Logarithmic Sobolev constants for Brownian motion on manifolds with sticky reflecting boundary diffusion i.e. extended Wentzell…
Adiabatic Approximation of Coarse Grained Second Order Response
Fenna Müller, Max von Renesse
We propose estimators for dynamic second order response theory in coarse grained variables for driven out-of-equilibrium subsystems. The error is controlled through the the notion…
Toric Geometry of Entropic Regularization
Bernd Sturmfels, Simon Telen, François-Xavier Vialard +1
Entropic regularization is a method for large-scale linear programming. Geometrically, one traces intersections of the feasible polytope with scaled toric varieties, starting at th…
Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
Vitalii Konarovskyi, Victor Marx, Max von Renesse
Introducing an interpolation method we derive lower bounds for the spectral gap for Brownian motion on general domains with sticky-reflecting boundary diffusion associated to the f…
A note on overrelaxation in the Sinkhorn algorithm
Tobias Lehmann, Max-K. von Renesse, Alexander Sambale +1
We derive an a priori parameter range for overrelaxation of the Sinkhorn algorithm, which guarantees global convergence and a strictly faster asymptotic local convergence. Guided b…
Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line
Vitalii Konarovskyi, Max von Renesse
We introduce a family of reversible fragmentating-coagulating processes of particles of varying size-scaled diffusivity with strictly local interaction on the real line as mathemat…
Couplings, gradient estimates and logarithmic Sobolev inequality for Langevin bridges
Giovanni Conforti, Max Von Renesse
In this paper we establish quantitative results about the bridges of the Langevin dynamics and the associated reciprocal processes. They include an equivalence between gradient est…
Modified Massive Arratia flow and Wasserstein diffusion
Vitalii Konarovskyi, Max von Renesse
Extending previous work [arXiv:1408.0628] by the first author we present a variant of the Arratia flow, which consists of a collection of coalescing Brownian motions starting from…
Weak solutions for a stochastic mean curvature flow of two-dimensional graphs
Martina Hofmanova, Matthias Roeger, Max von Renesse
We study a stochastically perturbed mean curvature flow for graphs in over the two-dimensional unit-cube subject to periodic boundary conditions. In particular, we e…
Averaging principle for diffusion processes via Dirichlet forms
Florent Barret, Max-K. Von Renesse
We study diffusion processes driven by a Brownian motion with regular drift in a finite dimension setting. The drift has two components on different time scales, a fast conservativ…
Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow
Abelhadi Es-Sarhir, Max von Renesse, Wilhelm Stannat
We establish moment estimates for the invariant measure of a stochastic partial differential equation describing motion by mean curvature flow in (1+1) dimension, leading to polyno…
Ergodicity of Stochastic Curve Shortening Flow in the Plane
A. Es-Sarhir, M. -K. von Renesse
We study a model of the motion by mean curvature of an (1+1) dimensional interface in a 2D Brownian velocity field. For the well-posedness of the model we prove existence and uniqu…
Existence and uniqueness of solutions of stochastic functional differential equations
Max-K. von Renesse, Michael Scheutzow
We provide sufficient conditions on the coefficients of a stochastic functional differential equation with bounded memory driven by Brownian motion which guarantee existence and un…