Replica Symmetry Breaking for Random Regular NAESAT

School of Mathematics Colloquium
Thursday, February 13, 2020 - 11:00am for 1 hour (actually 50 minutes)
Skiles 006
Allan Sly – Princeton University
Konstantin Tikhomirov

Ideas from physics have predicted a number of important properties of random constraint satisfaction problems such as the satisfiability threshold and the free energy (the exponential growth rate of the number of solutions).  Another prediction is the condensation regime where most of the solutions are contained in a small number of clusters and the overlap of two random solutions is concentrated on two points.  We establish this phenomena for the random regular NAESAT model.