ERC Starting Grant · 2024
Spin glasses and random polynomial systems: structure, algorithms and connections
The project focuses on two areas in the study of random functions in high-dimensions: mathematical Spin Glass theory and random systems of polynomial equations. Research in these fields is currently conducted by two separate mathematical communities. The study of algorithms for solving random systems has so far mostly focused on the well-known 17th problem of Steve Smale posed in 1998, which originally concerns complex polynomials. Mean-field spin glass models, on the other hand, deal with real random polynomial functions. However, Smale also posed a real version of his problem, even more difficult and much less understood. The polynomials in the real version of the problem are exactly the…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.