The high-d landscapes paradigm: spin-glasses, and beyond

Abstract

We review recent developments on the characterization of random landscapes in high-dimension. We focus in particular on the problem of characterizing the landscape topology and geometry, discussing techniques to count and classify its stationary points and stressing connections with the statistical physics of disordered systems and with random matrix theory.

Contribution to the book Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years

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