2 papers
math.PR2024
Phase transition of singular Gibbs measures for three-dimensional Schrödinger-wave system
Kihoon Seong
We study singular Gibbs measures for the three-dimensional Schrödinger-wave system, also known as the Yukawa system. Our primary result is the phase transition between weak and st…
math.PR2024
A remark on Gibbs measures with log-correlated Gaussian fields
Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
We study Gibbs measures with log-correlated base Gaussian fields on the -dimensional torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson's…