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math.PR2026
Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing
Martin Hairer, Declan Stacy
In this paper we analyze the Lyapunov exponents of a slow-fast system where the slow component is an Ornstein-Uhlenbeck process which perturbs the linear evolution of a fast variab…
math.PR2026
Stochastic Persistence in Infinite Dimensions
Juraj Foldes, Declan Stacy
Motivated by infinite-dimensional ecological and biological models such as reaction-diffusion SPDEs and stochastic functional differential equations, we develop a general criteria…