41 citations · 257 across the 53 of their papers we have counts for
Showing 2012 · math.PRShow all
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math.PR2012★ 14 cited
Geometric Langevin equations on submanifolds and applications to the stochastic melt-spinning process of nonwovens and biology
Martin Grothaus, Patrik Stilgenbauer
In this article we develop geometric versions of the classical Langevin equation on regular submanifolds in euclidean space in an easy, natural way and combine them with a bunch of…
math.PR2012★ 11 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…