The Airy<sub>2</sub> process and the 3D Ising model

نویسندگان

چکیده

The Ferrari-Spohn diffusion process arises as limit for the 2D Ising model well random walks with area penalty. Motivated by 3D model, we consider $M$ such diffusions conditioned not to intersect. We show that top converges Airy$_2$ $M\to\infty$. then explain relation and present some conjectures about it.

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ژورنال

عنوان ژورنال: Journal of Physics A

سال: 2023

ISSN: ['1751-8113', '1751-8121']

DOI: https://doi.org/10.1088/1751-8121/acb247