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math.PR2026
Large Deviations for the Nonlinear Schrödinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Subcritical Case
Fei Xu, Yong Li
We study the cubic weakly nonlinear Schrödinger equation with randomized spatially quasi-periodic initial data in higher dimensions. Under a polynomial decay assumption in Fourier…
math.PR2024
Onsager-Machlup functional for stochastic differential equations with time-varying noise
Xinze Zhang, Yong Li
This paper is devoted to studying the Onsager-Machlup functional for stochastic differential equations with time-varying noise of the α-Hölder, 0<α<1/4, dXt =f(t,Xt)dt+g(t)dWt.…
math.PR2024
Onsager-Machlup functional for stochastic lattice dynamical systems driven by time-varying noise
Xinze Zhang, Yong Li
This paper investigates the Onsager-Machlup functional of stochastic lattice dynamical systems (SLDSs) driven by time-varying noise. We extend the Onsager-Machlup functional from f…