42 citations · 63 across the 11 of their papers we have counts for
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math.DS2017★ 12 cited
On the geometry of chemical reaction networks: Lyapunov function and large deviations
Andrea Agazzi, Amir Dembo, Jean-Pierre Eckmann
In an earlier paper, we proved the validity of large deviations theory for the particle approximation of quite general chemical reaction networks (CRNs). In this paper, we extend i…
math.PR2017
Large deviations theory for Markov jump models of chemical reaction networks
Andrea Agazzi, Amir Dembo, Jean-Pierre Eckmann
We prove a sample path Large Deviation Principle (LDP) for a class of jump processes whose rates are not uniformly Lipschitz continuous in phase space. Building on it we further es…