AN L-p THEORY OF SPARSE GRAPH CONVERGENCE II: LD CONVERGENCE, QUOTIENTS AND RIGHT CONVERGENCE
ANNALS OF PROBABILITY, pp. 337.0-396.0, 2018.
We extend the L-p theory of sparse graph limits, which was introduced in a companion paper, by analyzing different notions of convergence. Under suitable restrictions on node weights, we prove the equivalence of metric convergence, quotient convergence, microcanonical ground state energy convergence, microcanonical free energy convergence...More
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