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math.PR2020★ 1 cited
A large deviation principle for block models
Christian Borgs, Jennifer Chayes, Julia Gaudio +2
We initiate a study of large deviations for block model random graphs in the dense regime. Following Chatterjee-Varadhan(2011), we establish an LDP for dense block models, viewed a…
math.PR2020★ 1 cited
Correlation decay for hard spheres via Markov chains
Tyler Helmuth, Will Perkins, Samantha Petti
We improve upon all known lower bounds on the critical fugacity and critical density of the hard sphere model in dimensions two and higher. As the dimension tends to infinity our i…