Some generic features of dynamics in a high-dimensional rugged landscape
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
high dimensional dynamics
multiple spin interaction
sherrington kirkpatrick model
82D30 - Random media, disordered materials (including liquid crystals and spin glasses)
37N20 - Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
The organization of high dimensional random `rugged' landscapes
has some universal features, some of them quite anti-intuitive to humans used to think in low
dimensions. The dynamics within such landscapes is also quite anti-intuitive, for the same reasons.
I will describe how one may learn from analytic solutions of simplified models, and some
conjectures that one would like to prove
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