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math.PR2026
Free energy of Ising models under a spectral condition
Andrea Montanari, Michael Ren
A sequence of sparse weighted graphs indexed by the number of vertices is said to be left-convergent if all (suitably weighted) subgraph counts converge to a lim…
math.PR2022
Locality of critical percolation on expanding graph sequences
Michael Ren, Nike Sun
We study the locality of critical percolation on finite graphs: let be a sequence of finite graphs, converging locally weakly to a (random, rooted) infinite graph . Consid…