Probability, Ergodic Theory, Mathematical Physics Seminar

Low temperature expansion for the Euclidean \Phi^4_2-measure

Kihoon Seong, Cornell University

Friday, April 19th, 2024
3:00 PM - 4:00 PM
Hylan 1106A

We study asymptotic expansions of the Euclidean \Phi^4_2-measure in the low-temperature regime. In particular, this extends the asymptotic expansions of Gaussian function space integrals developed in Schilder (1966) and Ellis and Rosen (1982) to the singular setting, where the field is no longer a function, but just a distribution. As a consequence, we obtain limit theorems, specifically the law of large numbers and the central limit theorem for the \Phi^4_2-measure in the low-temperature limit.

Event contact: skuzgun at ur dot rochester dot edu