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math.PR2024
Tightness of the maximum of Ginzburg-Landau fields
Florian Schweiger, Wei Wu, Ofer Zeitouni
We consider the discrete Ginzburg-Landau field with potential satisfying a uniform convexity condition, in the critical dimension , and prove that its maximum over boxes of si…
math.PR2024
The shape of the front of multidimensional branching Brownian motion
Yujin H. Kim, Ofer Zeitouni
We study the shape of the outer envelope of a branching Brownian motion (BBM) in , . We focus on the extremal particles: those whose norm is within of…