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math.DS2026
A Smooth Autonomous Flow with Exponential Mixing on the Three-Torus
Nianci Jiang, Weili Zhang
We construct a smooth autonomous divergence-free vector field on whose flow is exponentially mixing with respect to Lebesgue measure. This answers an open question a…
math.DS2025
Quenched correlation decay for random splittings of some prototypical 3D flows including the ABC flow
Nianci Jiang, Weili Zhang
For the long-time dynamical challenges of some prototypical 3D flows including the ABC flow on , we apply a random splitting method to establish two fundamental indic…