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math.PR2019
Universality of the time constant for critical first-passage percolation
Michael Damron, Jack Hanson, Wai-Kit Lam
We consider first-passage percolation (FPP) on the triangular lattice with vertex weights whose common distribution function satisfies . This is known as the…
math.PR2019
Order of Fluctuations of the Free Energy in the SK Model at Critical Temperature
Wei-Kuo Chen, Wai-Kit Lam
We present an elementary approach to the order of fluctuations for the free energy in the Sherrington-Kirkpatrick mean field spin glass model at and near the critical temperature.…