LARGE DEVIATIONS FOR TWO-SCALE CHEMICAL KINETIC PROCESSES | |
Li, Tiejun ; Lin, Feng | |
2017 | |
关键词 | Chemical kinetic processes two-scale large deviations rare events genetic switching RATES SDES |
英文摘要 | We formulate the large deviations for a class of two scale chemical kinetic processes motivated from biological applications. The result is successfully applied to treat a genetic switching model with positive feedbacks. The corresponding Hamiltonian is convex with respect to the momentum variable as a byproduct of the large deviation theory. This property ensures its superiority in the rare event simulations compared to the result obtained by formal WKB asymptotics. The result is of general interest in understanding the large deviations for multiscale problems.; NSFC [11171009, 11421101, 91530322]; National Science Foundation for Excellent Young Scholars [11222114]; SCI(E); ARTICLE; 1; 123-163; 15 |
语种 | 英语 |
出处 | SCI |
出版者 | COMMUNICATIONS IN MATHEMATICAL SCIENCES |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/476414] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Li, Tiejun,Lin, Feng. LARGE DEVIATIONS FOR TWO-SCALE CHEMICAL KINETIC PROCESSES. 2017-01-01. |
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