42 citations · 63 across the 11 of their papers we have counts for
4 papers · 1 filter
Random Splitting of Fluid Models: Ergodicity and Convergence
Andrea Agazzi, Jonathan C. Mattingly, Omar Melikechi
We introduce a family of stochastic models motivated by the study of nonequilibrium steady states of fluid equations. These models decompose the deterministic dynamics of interest…
Large deviations for Markov jump processes with uniformly diminishing rates
Andrea Agazzi, Luisa Andreis, Robert I. A. Patterson +1
We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly en…
Seemingly stable chemical kinetics can be stable, marginally stable, or unstable
Andrea Agazzi, Jonathan C. Mattingly
We present three examples of chemical reaction networks whose ordinary differential equation scaling limit are almost identical and in all cases stable. Nevertheless, the Markov ju…
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…