Special probability seminar

Seminar | January 24 | 12:10-1 p.m. | 1011 Evans Hall

 Allan Sly, Princeton University

 Department of Statistics

Replica Symmetry Breaking for Random Regular NAESAT

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 first time in the random regular NAESAT model.

Joint work with Danny Nam and Youngtak Sohn