Professor WILFRID KENDALL (University of Warwick)

will speak on

Wandering around a fibrous network when all the paths look very much alike

Time: 2:00PM
Date: Wed 24th April 2024
Location: E0.32 (beside Pi restaurant) [map]

Abstract: I will give an overview of work I have been interested in for the last decade or so, concerned with generating models based on Poisson processes which supply insight into route-finding and traffic flows. Initial constructions (Aldous 2014, Kahn 2016, Kendall 2017) showed existence of such models satisfying the SIRSN axioms formulated by Aldous (2014). But these constructions all involve infinitely long linear paths, and in particular do not easily admit local influences. Can one do better? I shall discuss recent work showing that SIRSN can indeed arise under far less stringent conditions, based on line segments or even suitably stiff fibres.

(This talk is part of the UCD School of Mathematics and Statistics Colloquium series.)

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