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math-ph2020★ 13 cited
On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization
Wei-Kuo Chen, Si Tang
The cavity and TAP equations are high-dimensional systems of nonlinear equations of the local magnetization in the Sherrington-Kirkpatrick model. In the seminal work [Comm. Math. P…
math.PR2020
On the minimal drift for recurrence in the frog model on -ary trees
Chengkun Guo, Si Tang, Ningxi Wei
We study the recurrence of one-per-site frog model on a -ary tree with drift parameter , which determines the bias of frogs' random walks. We are i…