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SUMMARY:SF Presidential Lecture: How Do Waves Propagate Randomness?
DTSTART:20230531T220000Z
DTEND:20230531T230000Z
DTSTAMP:20240624T043300Z
UID:indico-event-3730@indico.flatironinstitute.org
CONTACT:lectures@simonsfoundation.org
DESCRIPTION:Contact kaugenblick@simonsfoundation.org\; lectures@simonsfo
undation.orgRegistration link: https://www.eventbrite.com/e/how-do-waves-
propagate-randomness-registration-623820653367Waves are everywhere in natu
re. They arise in quantum mechanics\, fiber optics\, ferromagnetism\, the
atmosphere\, water and many other models. Such wave phenomena are never to
o smooth or simple — the byproduct of nonlinear interactions. Understand
ing and describing the dynamical behavior of such models under certain noi
sy conditions or given an initial statistical ensemble and having a precis
e description of how the inherent randomness built in these models propaga
tes is fundamental to accurately predicting wave phenomena when studying t
he natural world.In this talk\, Andrea Nahmod will start by describing how
classical tools from probability offer a robust framework to understand t
he dynamics of waves via appropriate ensembles on phase space rather than
particular microscopic dynamical trajectories. She will continue by explai
ning the fundamental paradigm shift that arises from the “correct” sca
ling in this context and how it opened the door to unveiling the random st
ructures of nonlinear waves that live on high frequencies and fine scales.
She will then discuss how these ideas broke the logjam in the study of th
e Gibbs measures associated with nonlinear Schrödinger equations in the c
ontext of equilibrium statistical mechanics and the hyperbolic Φ^4_3 mode
l in the context of constructive quantum field theory. Finally\, she will
end with some open challenges about the long-time propagation of randomnes
s and out-of-equilibrium dynamics.Speaker Bio:Nahmod is a professor of ma
thematics at the University of Massachusetts\, Amherst. She is best known
for her work on nonlinear partial differential equations and nonlinear Fou
rier analysis. After receiving her Ph.D. from Yale University\, she held r
esearch and faculty positions at Macquarie University\, Sydney\, the Unive
rsity of Texas at Austin\, the Mathematical Sciences Research Institute in
Berkeley\, California and the Institute for Advanced Study in\, Princeton
\, New Jersey\, before joining UMass Amherst. Nahmod was the Sargent Faull
Fellow at the Radcliffe Institute for Advanced Study at Harvard and a Sim
ons Foundation Fellow. She held Simons Professorships at MSRI and at the C
entre de Recherches Mathématiques\, Montreal. At UMass Amherst\, Nahmod r
eceived the Award for Outstanding Accomplishments in Research and Creative
Activity and a Samuel E. Conti Fellowship\, two of the top honors. Nahmod
is a fellow of the American Mathematical Society. The National Science Fo
undation has continuously funded her research\, and she is a principal inv
estigator in the Simons Collaboration on Wave Turbulence.SCHEDULEDoors ope
n: 5:30 p.m. (No entrance before 5:30 p.m.)Lecture: 6:00 p.m. – 7:00 p
.m. (Admittance closes at 6:20 p.m.)Inquiries: lectures@simonsfoundation.
org\n\nhttps://indico.flatironinstitute.org/event/3730/
LOCATION:Gerald D. Fischbach Auditorium/2-GDFA (160 5th Avenue)
URL:https://indico.flatironinstitute.org/event/3730/
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