Complex complex landscapes

We study the saddle points of the p-spin model—the best understood example of a “complex” (rugged) landscape—when its N variables are complex. These points are the solutions to a system of N random equations of degree p−1. We solve for N[over ¯], the number of solutions averaged over randomness in t...

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Bibliographic Details
Main Authors: Jaron Kent-Dobias, Jorge Kurchan
Format: Article
Language:English
Published: American Physical Society 2021-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.023064