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math.PR2024
Percolation of thick points of the log-correlated Gaussian field in high dimensions
Jian Ding, Ewain Gwynne, Zijie Zhuang
We prove that the set of thick points of the log-correlated Gaussian field contains an unbounded path in sufficiently high dimensions. This contrasts with the two-dimensional case,…
math.PR2024
Dynamical random field Ising model at zero temperature
Jian Ding, Peng Yang, Zijie Zhuang
In this paper, we study the evolution of the zero-temperature random field Ising model as the mean of the external field increases from to . We focus on two t…