Sticky diffusions on graphs

Adam Gregosiewicz

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arXiv · 2201.09363

Sticky diffusions on graphs

Adam Gregosiewicz

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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.

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Adam Gregosiewicz. 2022-01-23. Sticky diffusions on graphs. https://arxiv.org/abs/2201.09363

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