24 citations · 50 across the 3 of their papers we have counts for
6 papers
Hilbert space hypocoercivity for the Langevin dynamics revisited
Martin Grothaus, Patrik Stilgenbauer
We provide a complete elaboration of the -Hilbert space hypocoercivity theorem for the degenerate Langevin dynamics via studying the longtime behavior of the strongly continuo…
A hypocoercivity related ergodicity method with rate of convergence for singularly distorted degenerate Kolmogorov equations and applications
Martin Grothaus, Patrik Stilgenbauer
In this article we develop a new abstract strategy for proving ergodicity with explicit computable rate of convergence for diffusions associated with a degenerate Kolmogorov operat…
Hypocoercivity for Kolmogorov backward evolution equations and applications
Martin Grothaus, Patrik Stilgenbauer
In this article we extend the modern, powerful and simple abstract Hilbert space strategy for proving hypocoercivity that has been developed originally by Dolbeault, Mouhot and Sch…
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…
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…
Construction of -strong Feller Processes via Dirichlet Forms and Applications to Elliptic Diffusions
Benedict Baur, Martin Grothaus, Patrik Stilgenbauer
We provide a general construction scheme for -strong Feller processes on locally compact separable metric spaces. Starting from a regular Dirichlet form and specified…