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

Zhu, Yanbin et al.
arXiv (All) · Papers
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dynamical-systemsprobability
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 variat
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