Percolation Today is an online seminar aiming to promote the exchange of exciting new ideas on both Bernoulli and dependent percolation processes, at a level appropriate for specialists in the area. We hope to be a focal point to foster new connections and collaborations between the global community of percolation lovers.
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The directed landscape is a black noise
Speakers: Zoe Himwich and Shalin Parekh
Date: March, 31st, 16:00 CET
Abstract: The directed landscape is the central object in the Kardar-Parisi-Zhang universality class, and is conjecturally the scaling limit for all models of last passage percolation, directed polymers, exclusion processes, and many other types of interface growth models arising in probability and statistical physics. It was constructed independently by Matetski-Quastel-Remenik and Dauvergne-Ortmann-Virag. In this talk, we discuss a recent result where we show that the directed landscape is a black noise. This roughly means that it is noise-sensitive and cannot be expressed as a random dynamical system driven by Gaussian white noise. In particular, it cannot be written as a stochastic PDE.
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Organizers:
Barbara Dembin
Piet Lammers
Hugo Vanneuville
Franco Severo
Scientific Commitee:
Christophe Garban
Tom Hutchcroft
Pictures by: Adèle Ivain and Laurie Quétel