컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0133 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-21) Recent Progress in Mathematical Biology (SS-21) |
| 발표시간(Time) | 20th-C-10:50 -- 11:10 |
| 영문제목 (Title(Eng.)) |
Exponential ergodicity of one-dimensional stochastic reaction networks |
| 저자(Author(s)) |
MinJoon Kim1, Seokhwan Moon1, Jinsu Kim1 POSTECH1 |
| 초록본문(Abstract) | Chuang Xu et al. have extensively categorized explosivity, recurrence, and ergodicity within stochastic reaction networks by considering factors such as the mean and variance of drift, as well as the highest degree of reactions. However, while they have provided sufficient conditions for exponential ergodicity, the necessary conditions remain elusive. In this presentation, we demonstrate that one-dimensional stochastic reaction networks, characterized by single birth and death events of equal magnitude, can exhibit either exponential ergodicity or non-ergodic behavior. Furthermore, we propose a framework for extending this analysis to scenarios involving multiple birth and death events. |
| 분류기호 (MSC number(s)) |
60J27, 60J28 |
| 키워드(Keyword(s)) | Stochastic reaction networks, ergodicity, exponential ergodicity |
| 강연 형태 (Language of Session (Talk)) |
Korean |