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Status: Unchecked ×Keyword: metastability ×Clear all

2 claims from 1 paper

1. Computer Science › Constraint Satisfaction and Optimization

   Relaxation and metastability in a local search procedure for the random satisfiability problem

   Semerjian and Monasson · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2003

   Unchecked2 claims
   Show 2 claims

   1. Unchecked“Depending on the ratio alpha of constraints per variable, resolution takes a time T_res growing linearly (T_res \sim tau(alpha) N, alpha < alpha_d) or exponentially (T_res \sim exp(N zeta(alpha)), alpha > alpha_d) with the size N of the instance.”
   2. Unchecked“For alpha > alpha_d, the system is trapped in some metastable state, and resolution occurs from escape from this state through crossing of a large barrier.”