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math.PR2018★ 13 cited
Spin systems on Bethe lattices
Amin Coja-Oghlan, Will Perkins
In an extremely influential paper Mezard and Parisi put forward an analytic but non-rigorous approach called the cavity method for studying spin systems on the Bethe lattice, i.e.,…
math.MG2018
On kissing numbers and spherical codes in high dimensions
Matthew Jenssen, Felix Joos, Will Perkins
We prove a lower bound of on the kissing number in dimension . This improves the classical lower bound of Chabauty, Shannon, and Wyner by a lin…