Quantitative stability of push-forwards by optimal maps

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Event details

Date 05.12.2025
Hour 14:15
Speaker Pof. Guillaume Carlier (Paris Dauphine University – France)
Location
Category Conferences - Seminars
Event Language English
Abstract
In this talk, based on a joint work with Quentin Mérigot and Alex Delalande, I will discuss (sharp)
quantitative stability of push-forwards by optimal transport maps. The main step of the proof
relies on a new bound (of independent interest) that quantifies the size of the singular set of
convex functions in terms of covering numbers.