Optimal Transportation and Applications

Stochastic homogenisation of nonlinear minimum-cost flow problems

speaker: Lorenzo Portinale (Universität Bonn)

abstract: We study the continuous limit of minimum-cost flow problems on large random graphs. Our main result asserts the convergence of minimum-cost flows to currents minimising a continuous linear-growth functional. Due to the particular growth regime, one of the main features and challenges is the presence of finite-energy flows with singularities. In this talk, we discuss the main ideas and tools to handle this framework, in particular the subadditive ergodic theorem and the blow-up method.

timetable:
Mon 2 Dec, 15:20 - 15:50, Aula Dini
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