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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…
math.AP2023
Gibbs dynamics for fractional nonlinear Schrödinger equations with weak dispersion
Rui Liang, Yuzhao Wang
We consider the Cauchy problem for the one-dimensional periodic cubic nonlinear fractional Schr{ö}dinger equation (FNLS) with initial data distributed via its associated Gibbs meas…