5 papers · 1 filter
Dynamics for spherical spin glasses: Gibbs distributed initial conditions
Amir Dembo, Eliran Subag
We derive the coupled non-linear integro-differential equations for the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics at temperat…
Disordered Gibbs measures and Gaussian conditioning
Amir Dembo, Eliran Subag
We study the law of a random field evaluated at a random sample from the Gibbs measure associated to a Gaussian field . In the high-tempera…
Geometry of spherical spin glasses
Eliran Subag
Spherical spin glasses are canonical models for smooth random functions in high dimensions. In this review, we survey several interrelated lines of research on their geometric stru…
Solving systems of Random Equations via First and Second-Order Optimization Algorithms
Andrea Montanari, Eliran Subag
We revisit the problem of solving random equations in real variables, when the equations are independent realizations of a Gaussian process in dimensions. A special cas…
Concentration for the zero set of large random polynomial systems
Eliran Subag
For random systems of polynomials in real variables which include the models of Kostlan (1987) and Shub and Smale (1993), we prove that the number of zeros on the unit…