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Status: Unchecked ×Keyword: ferromagnetic coupling ×Clear all

3 claims from 1 paper

1. Computer Science › Constraint Satisfaction and Optimization

   Interacting copies of random-constraint satisfaction problems

   Angelini, Budzynski and Ricci‐Tersenghi · Physical review. E · 2025

   Unchecked3 claims
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   1. Unchecked“Our results show that a coupling of strength $γ$ between the copies decreases the clustering threshold $α_d(γ)$, at which typical solutions shatters into disconnected components, therefore preventing numerical methods such as Monte Carlo Markov Chains from r…
   2. Unchecked“Additionally, we observe a change in the nature of the clustering phase transition, from discontinuous to continuous, in a wide $γ$ range.”
   3. Unchecked“We investigate how the coupling affects the behavior of the Belief Propagation (BP) algorithm on finite-size instances and find that BP convergence is significantly impacted by the continuous transition.”