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
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
Add to Google Calendar