most citedEntropy, chaos and weak horseshoe for infinite dimensional random dynamical systems

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math.PR2026

Spectral gap for the stochastic primitive equations under degenerate Brownian forcing

Quyuan Lin, Rongchang Liu, Kening Lu

We prove a weighted Wasserstein spectral gap for the three-dimensional primitive equations on under finite-rank additive Brown…

math.PR2026

Unique Ergodicity for the Projective Process of the 2D Navier--Stokes Equation with Nondegenerate Noise

Zeng Lian, Rongchang Liu, Kening Lu

We prove unique ergodicity of the projective process associated with the two dimensional Navier--Stokes equation in vorticity form, with additive diagonal noise acting on every non…