컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0170 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (PS) Probability and Statistics (PS) |
| 발표시간(Time) | 20th-C-11:10 -- 11:30 |
| 영문제목 (Title(Eng.)) |
Metastable hierarchy in the reversible inclusion process: Third time scale and complete characterization |
| 저자(Author(s)) |
Seonwoo Kim1 KIAS1 |
| 초록본문(Abstract) | We consider the reversible inclusion process on a general finite graph. It was known in [Bianchi, Dommers and Giardinà, EJP 2017] that the model exhibits a metastable behavior in the limit of vanishing diffusivity, and an hierarchical structure of metastability was predicted to occur. Following the partial result in [K., PTRF 2021] which focused on the second time scale of metastable transitions, in this talk we investigate the third time scale, which is indeed the last one. The metastable analysis of the third time scale turns out to be much more complicated than in the previous two situations, mainly due to the fact that the energy landscape regarding the third time scale is essentially three-dimensional. |
| 분류기호 (MSC number(s)) |
60J28, 60K35, 82C22 |
| 키워드(Keyword(s)) | Metastability, hierarchical structure, reversible inclusion process |
| 강연 형태 (Language of Session (Talk)) |
Korean |