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q-bio.QM2014
Jump-Diffusion Approximation of Stochastic Reaction Dynamics: Error bounds and Algorithms
Arnab Ganguly, Derya Altintan, Heinz Koeppl
Biochemical reactions can happen on different time scales and also the abundance of species in these reactions can be very different from each other. Classical approaches, such as…
math.PR2014
Moderate Deviation Principles for Stochastic Differential Equations with Jumps
Amarjit Budhiraja, Paul Dupuis, Arnab Ganguly
Moderate deviation principles for stochastic differential equations driven by a Poisson random measure (PRM) in finite and infinite dimensions are obtained. Proofs are based on a v…