Geometric Functional Analysis and Probability Seminar

Date:
01
Thursday
January
2026
Lecture / Seminar
Time: 13:30-14:30
Title: The limiting law of the Discrete Gaussian level-lines
Location: Jacob Ziskind Building
Lecturer: Eyal Lubetzky
Organizer: Department of Mathematics
Details: NYU
Abstract: We will present a recent result with Joe Chen on the low temperature (2+1)D inte ... Read more We will present a recent result with Joe Chen on the low temperature (2+1)D integer-valued Discrete Gaussian (ZGFF) model. The level lines were conjectured to have cube-root fluctuations near the sides of the box, mirroring the Solid-On-Solid picture. The new results resolve this and further recover the joint limit law of the top level-lines near the sides of the box, which is a product of Ferrari—Spohn diffusions.
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