criticality 1gibbs measures 1harmonic potential 1nonlinear schrodinger equation 1phase transition 1renormalization 1
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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…