3 papers
math.PR2026
The limiting law of the Discrete Gaussian level lines
Joseph Chen, Eyal Lubetzky
Consider the D Discrete Gaussian (ZGFF, integer-valued Gaussian free field) model in an box above a hard floor. Bricmont, El-Mellouki and Fröhlich (1986) establ…
math.PR2026
The limit shape and emergence of the Discrete Gaussian level lines
Joseph Chen, Eyal Lubetzky
Consider the D Discrete Gaussian model (ZGFF) on an box with a hard floor at height zero and zero boundary conditions, at low temperature. The second author, Mar…
math.PR2025
Logarithmic delocalization of low temperature 3D Ising and Potts interfaces above a hard floor
Joseph Chen, Reza Gheissari, Eyal Lubetzky
We study the entropic repulsion of the low temperature 3D Ising and Potts interface in an box with blue boundary conditions on its bottom face (the hard floor)…