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math.PR2026
Phase transition for weakly interacting focusing Gibbs measures with harmonic potential
Damiano Greco, Yuzhao Wang
In this paper, we study the Gibbs measures on Euclidean spaces associated to the focusing nonlinear Schrödinger equation with harmonic potential and critical non linearity whose co…
math.PR2024
Critical threshold for weakly interacting log-correlated focusing Gibbs measures
Damiano Greco, Tadahiro Oh, Liying Tao +1
We study log-correlated Gibbs measures on the -dimensional torus with weakly interacting focusing quartic potentials whose coupling constants tend to as we remove regulariza…
math.PR2023
Optimal divergence rate of the focusing Gibbs measures
Damiano Greco, Guopeng Li, Rui Liang +2
We study Gibbs measures on the -dimensional torus with -(super)critical focusing interaction potentials. We establish a precise divergence rate of the partition function as…