Reflected Brownian motion in a narrow tube around a graph converges to a diffusion on the graph, with vertex gluing conditions that are pass-through, sticky, or absorbing depending on the junction-size scaling regime.
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Asymptotic analysis on narrow tubes: narrow escape problems and diffusion processes
Reflected Brownian motion in a narrow tube around a graph converges to a diffusion on the graph, with vertex gluing conditions that are pass-through, sticky, or absorbing depending on the junction-size scaling regime.