criticality 1gibbs measures 1harmonic potential 1nonlinear schrodinger equation 1phase transition 1renormalization 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
Phase transition for weakly interacting focusing Gibbs measures with harmonic potential
Damiano Greco, Yuzhao Wang
The paper analyzes Gibbs measures for the focusing nonlinear Schrödinger equation with a harmonic potential as the interaction strength vanishes, identifying a critical threshold t…
math.PR2025
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…
math.PR2025
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…