An $L^{p}$ theory of sparse graph convergence II: LD convergence, quotients and right convergence
نویسندگان
چکیده
منابع مشابه
An L Theory of Sparse Graph Convergence Ii: Ld Convergence, Quotients, and Right Convergence
We extend the Lp 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, and large deviation convergence. Our theorems extend the...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2018
ISSN: 0091-1798
DOI: 10.1214/17-aop1187