English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

An analysis of the average properties of a local search resolution procedurefor the satisfaction of random Boolean constraints is presented. Depending onthe ratio alpha of constraints per variable, resolution takes a time T_resgrowing 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 theinstance. The relaxation time tau(alpha) in the linear phase is calculatedthrough a systematic expansion scheme based on a quantum formulation of theevolution operator. For alpha > alpha_d, the system is trapped in somemetastable state, and resolution occurs from escape from this state throughcrossing of a large barrier. An annealed calculation of the height zeta(alpha)of this barrier is proposed. The polynomial/exponentiel cross-over alpha_d isnot related to the onset of clustering among solutions.Comment: 23 pages, 11 figures. A mistake in sec. IV.B has been correcte

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