Yan-Bin Zhu

Persistence and long-time breakdown of most probable paths under time-dependent fractional noise with applications to KAM tori

We investigate the persistence of most probable paths through the Onsager--Machlup functional for multidimensional stochastic differential equations driven by fractional Brownian motion with time-dependent diffusion coefficients and Hurst parameter $H\in(1/4,1)$. Under suitable structural and variational conditions, de...