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math.PR2026
Bulk stability of bimolecular stochastic chemical reaction networks
Andrea Agazzi, Lucie Laurence
We establish criteria for stability in the bulk of planar stochastic chemical reaction networks with mass-action kinetics. Using Poincaré compactification, we characterize the asym…
math.PR2025
Noise-induced stabilization in a chemical reaction network without boundary effects
Andrea Agazzi, Lucie Laurence
We present a chemical reaction network that is unstable under deterministic mass action kinetics, exhibiting finite-time blow-up of trajectories in the interior of the state space,…
math.PR2023
Random Splitting of Point Vortex Flows
Andrea Agazzi, Francesco Grotto, Jonathan C. Mattingly
We consider a stochastic version of the point vortex system, in which the fluid velocity advects single vortices intermittently for small random times. Such system converges to the…