Some generic features of dynamics in a high-dimensional rugged landscape
Presenter
October 30, 2015
Keywords:
- high dimensional dynamics
- physical applications
- Ising model
- spin glasses
- multiple spin interaction
- sherrington kirkpatrick model
MSC:
- 82D30
- 82Dxx
- 82D20
- 37N20
- 58K05
Abstract
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.