| 구분 |
확률론 |
| 일정 |
2024-08-19(월) 14:00~18:00 |
| 세미나실 |
129동 406호 |
| 강연자 |
성기훈 (Cornell University) |
| 담당교수 |
서인석 |
| 기타 |
|
I will discuss the asymptotic expansions of the Euclidean Φ^4-measure in the low-temperature regime. Consequently, we derive limit theorems, specifically the law of large numbers and the central limit theorem for the Φ^4-measure in the low-temperature limit. In the second part of the talk, I will focus on the infinite volume limit of the focusing Φ^4-measure. Specifically, with appropriate scaling, the focusing Φ^4-measure exhibits Gaussian fluctuations around a scaled solitary wave, that is, the central limit theorem.
This talk is based on joint works with Benjamin Gess, Pavlos Tsatsoulis, and Philippe Sosoe.