Wednesday, May 22, 2024 - 16:00 in Online
Probabilistic scaling, propagation of randomness and invariant Gibbs measures.
A talk in the Oberseminar Analysis series by
Andrea Nahmod from University of Massachusetts Amherst
| Abstract: |
In this talk, we will start by describing how classical tools from probability
offer a robust framework to understand the dynamics of waves via appropriate ensembles
on phase space rather than particular microscopic dynamical trajectories. We will continue
by explaining the fundamental shift in paradigm that arises from the “correct” scaling in this
context and how it opened the door to unveil the random structures of nonlinear waves that
live on high frequencies and fine scales as they propagate. We will then discuss how these
ideas broke thelogjam in the study of the Gibbs measures associated to nonlinear
Schrödinger equationsin the context of equilibrium statistical mechanics and of the
hyperbolic $\Phi^4_3$ modelin the context of constructive quantum field theory.
We will end with some open challengesabout the long-time propagation of randomness
and out-of-equilibrium dynamics.
Zoom Meeting ID: 684 0498 9843
Passcode: 241051
$\href{https://uni-bielefeld.zoom-x.de/j/68404989843?pwd=cWNqT3FFZWFxMW1RQ3FvUkZ0MG9Jdz09}{\textbf{Join Zoom Meeting}}$
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