[Dottorcomp] Seminari di Matematica Applicata. Martedì 29 giugno, Luca Tamanini

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F.
Casorati" e Istituto del CNR IMATI "E. Magenes" di Pavia,

Martedì 29 giugno 2021, alle ore 14.30 precise,
Luca Tamanini (CEREMADE Université Paris Dauphine)
terrà un seminario dal titolo:

Small-time asymptotics of the metric Schrödinger problem

Il seminario si terrà su Zoom al link:
https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09

Abstract.
The interpretation of the Schrödinger problem as “noised” optimal
transport is by now well established. From this perspective several
natural questions stem, as for instance the convergence rate as the
noise parameter vanishes of many quantities: optimal value,
Schrödinger bridges and potentials… As for the optimal value, after
the works of Erbar-Maas-Renger and Pal a first-order Taylor expansion
is available. First aim of this talk is to improve this result in a
twofold sense: from the first to the second order and from the
Euclidean to the Riemannian setting (actually, to RCD spaces). From
the proof it will be clear that the statement is in fact a particular
instance of a more general result. For this reason, in the second part
of the talk we introduce a large class of dynamical variational
problems, extending far beyond the classical Schrödinger problem, and
for them we prove Γ-convergence towards the geodesic problem and a
suitable generalization of the second-order Taylor expansion.
(based on joint works with G. Conforti, L. Monsaingeon, and D. Vorotnikov)
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Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/