Tag: Gibbs measure
Log-Sobolev inequality holds for some Gibbs measures
What the study found The authors show that the Gibbs measures for the focusing Schrödinger equation satisfy a log-Sobolev inequality when 2 ≤ p ≤ 4. For p > 4, they establish a lower bound for the Hessian of the effective potential. Why the authors say this matters The study suggests that the log-Sobolev inequality…