Sticky diffusions on graphs
Probability
2022-01-25 v1 Analysis of PDEs
Dynamical Systems
Abstract
We consider diffusion processes on metric graphs with semipermeable sticky membranes in each vertex. We prove that the process is governed by a Feller semigroup and find its asymptotic behavior as diffusion's speed increases to infinity with the same rate as permeability coefficients decreases to zero.
Cite
@article{arxiv.2201.09363,
title = {Sticky diffusions on graphs},
author = {Adam Gregosiewicz},
journal= {arXiv preprint arXiv:2201.09363},
year = {2022}
}
Comments
13 pages, 1 figure