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math.PR2022
The Isochronal Phase of Stochastic PDE and Integral Equations: Metastability and Other Properties
Zachary P. Adams, James MacLaurin
We study the dynamics of waves, oscillations, and other spatio-temporal patterns in stochastic evolution systems, including SPDE and stochastic integral equations. Representing a g…
math.PR2022★ 3 cited
Quasi-Ergodicity of Transient Patterns in Stochastic Reaction-Diffusion Equations
Zachary P. Adams
We study transient patterns appearing in a class of SPDE using the framework of quasi-stationary and quasi-ergodic measures. In particular, we prove the existence and uniqueness of…