Sequential cavity method for computing limits of the log-partition function for lattice models

摘要

One of the key computational problems in combinatorics/statistical physics is the problem of computing limits of the log-partition functions for various statistical mechanics models on lattices. In combinatorics this limit corresponds to the exponent of various arrangements on lattices, for example the exponents of the number of independent sets, proper colorings or matchings on a lattice. In statistical physics this limit is called free energy.