A remark on Gibbs measures with log-correlated Gaussian fields

We study Gibbs measures with log-correlated base Gaussian fields on the d-dimensional torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson’s argument. In this paper, we consider the focusing case with a quartic interaction. Using the variational formulation, we...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों: Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
स्वरूप: लेख
भाषा:English
प्रकाशित: Cambridge University Press 2024-01-01
श्रृंखला:Forum of Mathematics, Sigma
विषय:
ऑनलाइन पहुंच:https://www.cambridge.org/core/product/identifier/S2050509424000288/type/journal_article