Am Montag, den 2. Dezember 2024, um 12:00 Uhr c.t., findet der nächste Termin unseres Physikalischen Kolloquiums in diesem Wintersemester statt.
Dr. Timo Schorlepp, Courant Instructor und Assistant Professor an der New York University, ist nominiert für den diesjährigen Dissertationspreis der Fakultät. Er referiert zum Thema „PREDICTING RARE EVENTS IN COMPLEX SYSTEMS THROUGH INSTANTONS AND FLUCTUATIONS“.
Predicting probabilities and typical shapes of rare but impactful events – such as high waves
and strong vortices in fluid flows, or extreme climate events – is an important challenge across
many scientific and engineering disciplines. A principled framework to address these problems
in stochastic systems is given by large deviation theory. Here, extreme event probabilities are
approximated by focusing on the most probable path, the „instanton“, that leads to a
prescribed outcome. In this talk, I will present two contributions from my PhD work: (i) robust
instanton calculations via optimal control techniques, and (ii) more precise probability
estimates by exactly calculating Gaussian fluctuations around the instanton, using Riccati
equations and Fredholm determinants. These methods will be illustrated through examples of
extreme events in fluid turbulence (Burgers and Navier-Stokes equations) and nonlinear
interface growth (Kardar-Parisi-Zhang equation). The broad goal of this work is to provide
more robust and precise predictions for rare phenomena in complex systems.
Abstract des Vortrags von Dr. Schorlepp.
Die Einführung erfolgt durch Prof. Dr. Hendrik Hildebrandt.
Die Fakultät lädt alle Interessierten herzlich ein. Anders als die anderen Kolloquien, findet die Veranstaltung dieses mal nur via Zoom statt:
Alle Termine des Physikalischen Kolloquiums finden Sie hier.
Bild: © Timo Schorlepp