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Sessões planeadas

Svetlana Jitomirskaya 07/09/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
, University of California, Irvine

Anderson localization and local eigenvalue statistics

Vincenzo Alba 14/09/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
, University of Amsterdam

Gil Refael 21/09/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
, Institute for Quantum Information and Matter

Tom Claeys 28/09/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
, Université Catholique de Louvain

Deformed Airy kernel determinants: from KPZ tails to initial data for KdV

Fredholm determinants associated to deformations of the Airy kernel are closely connected to the solution to the Kardar-Parisi-Zhang (KPZ) equation with narrow wedge initial data, and they also appear as largest particle distribution in models of positive-temperature free fermions. I will explain how logarithmic derivatives of the Fredholm determinants can be expressed in terms of a $2\times 2$ Riemann-Hilbert problem.
This Riemann-Hilbert representation can be used to derive precise lower tail asymptotics for the solution of the KPZ equation with narrow wedge initial data, refining recent results by Corwin and Ghosal, and it reveals a remarkable connection with a family of unbounded solutions to the Korteweg-de Vries (KdV) equation and with an integro-differential version of the Painlevé II equation.

Masud Haque 12/10/2020, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttp://tecnico.ulisboa.pt
, Maynooth University

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O objectivo principal do QM3 consiste em discutir tópicos recentes em física quântica do ponto de vista da matemática e promover pontes entre as comunidades física e matemática.


Organizadores: Bruno Mera, João Pimentel Nunes, José Mourão, Pedro Ribeiro, Roger Picken, Vitor Rocha Vieira
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