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20122024
most citedHilbert space hypocoercivity for the Langevin dynamics revisited

15 citations · 29 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.PR2024

Mosco convergence of gradient forms with non-convex potentials II

Martin Grothaus, Simon Wittmann

This article provides a scaling limit for a family of skew interacting Brownian motions in the context of mesoscopic interface models. Let , $y_1,\dots,y_M\in\mathbb…

math.PR2023

Singular Degenerate SDEs: Well-Posedness and Exponential Ergodicity

Panpan Ren, Martin Grothaus, Feng-Yu Wang

The well-posedness and exponential ergodicity are proved for stochastic Hamiltonian systems containing a singular drift term which is locally integrable in the component with noise…

math.PR20153 cited

Construction and analysis of sticky reflected diffusions

Martin Grothaus, Robert Voßhall

We give a Dirichlet form approach for the construction of distorted Brownian motion in a bounded domain of , , with boundary , where the behavior at…

math.PR2014

Construction and analysis of a sticky reflected distorted Brownian motion

Torben Fattler, Martin Grothaus, Robert Voßhall

We give a Dirichlet form approach for the construction of a distorted Brownian motion in , , where the behavior on the boundary is determined by th…

math.PR201211 cited

Geometry, mixing properties and hypocoercivity of a degenerate diffusion arising in technical textile industry

Martin Grothaus, Axel Klar, Johannes Maringer +1

We study a stochastic equation modeling the lay-down of fibers in the production process of nonwovens. The equation can be formulated as some manifold-valued Stratonovich stochasti…

math.PR2012

Construction of a finite volume dynamical wetting model with δ-pinning in (d+1)-dimension via Dirichlet forms

Torben Fattler, Martin Grothaus, Robert Voßhall

We give a Dirichlet form approach for the construction of a distorted Brownian motion in , , where the behavior on the boundary is determined by…