A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Large deviations for two-scale chemical kinetic processes
2017
Communications in Mathematical Sciences
Preserved Fulltext
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 by-product of the large deviation theory. This property ensures its superiority in the rare event simulations compared with the result obtained by formal WKB asymptotics. The result is of general
doi:10.4310/cms.2017.v15.n1.a6
fatcat:5e3uf3ba2rhstc6v5vd2uykcs4