43 citations · 79 across the 17 of their papers we have counts for
5 papers · 1 filter
Geometric Ergodicity of a Hypoelliptic Diffusion Modelling The Melt-Spinning Process of Nonwoven Materials
Martin Kolb, Mladen Savov, Achim Wubker
We analyze the large time behavior of a stochastic model for the lay-down of fibers on a conveyor belt in the production process of nonwovens. It is shown, that under weak conditio…
The Brownian traveller on manifolds
Martin Kolb, David Krejcirik
We study the influence of the intrinsic curvature on the large time behaviour of the heat equation in a tubular neighbourhood of an unbounded geodesic in a two-dimensional Riemanni…
On a stochastic Trotter formula with application to spontaneous localization models
Detlef Dürr, Günter Hinrichs, Martin Kolb
We consider the relation between so called continuous localization models - i.e. non-linear stochastic Schrödinger evolutions - and the discrete GRW-model of wave function collapse…
On the Spectral Gap of Brownian Motion with Jump Boundary
Martin Kolb, Achim Wübker
In this paper we consider the Brownian motion with jump boundary and present a new proof of a recent result of Li, Leung and Rakesh concerning the exact convergence rate in the one…
Spectral Analysis of Diffusions with Jump Boundary
Martin Kolb, Achim Wübker
In this paper we consider one-dimensional diffusions with constant coefficients in a finite interval with jump boundary and a certain deterministic jump distribution. We use coupli…