1 citations · 1 across the 5 of their papers we have counts for
6 papers
Perturbing Walsh's spider process by infinitesimal drifts
Adam Bobrowski, Andrey Pilipenko, Elżbieta Ratajczyk
We consider Walsh's process on a star graph perturbed by the fact that its paths need to additionally pass through semi-permeable soft membranes, each located on a different edge a…
A kinetic model approximation of Walsh's spider process on the infinite star-like graph
Adam Bobrowski, Elżbieta Ratajczyk
We consider processes of deterministic motions on copies of the star-like graph with edges which are perturbed by two stochastic mechanisms: one caused by in…
From snapping out Brownian motions to Walsh's spider processes on star-like graphs
Adam Bobrowski, Elżbieta Ratajczyk
By analyzing matrices involved, we prove that a snapping-out Brownian motion with large permeability coefficients is a good approximation of Walsh's spider process on the star-like…
Approximation of skew Brownian motion by snapping-out Brownian motions
Adam Bobrowski, Elżbieta Ratajczyk
We elaborate on the theorem saying that as permeability coefficients of snapping-out Brownian motions tend to infinity in such a way that their ratio remains constant, these proces…
On pairs of complementary transmission conditions and on approximation of skew Brownian motion by snapping-out Brownian motions
Adam Bobrowski, Elżbieta Ratajczyk
Following our previous work on `perpendicular' boundary conditions, we show that transmission conditions \[ f'(0-)=α(f(0+)-f(0-)), \quad f'(0+)=β(f(0+)-f(0-)),\] describing so-call…
A kinetic approach to active rod dynamics in confined domains
Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin +1
The study of active matter consisting of many self-propelled (active) swimmers in an imposed flow is important for many applications. Self-propelled swimmers may represent both liv…