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math.PR2026
Persistence and long-time breakdown of most probable paths under time-dependent fractional noise with applications to KAM tori
Yanbin Zhu, Xiaomeng Jiang, Yong Li
We investigate the persistence of most probable paths through the Onsager--Machlup functional for multidimensional stochastic differential equations driven by fractional Brownian m…
math.PR2026
Onsager--Machlup Functionals for Generalized Newtonian Equations of Motion with Time-Varying Fractional Noise
Yanbin Zhu, Xiaomeng Jiang, Yong Li
In this paper, we derive the Onsager--Machlup functional for a class of degenerate stochastic differential equations on driven by -dimensional fractional Brow…
math.DS2026
Onsager--Machlup Functional for Fractional Stochastic Newton Dynamics with Time-Dependent Noise Intensities
Yanbin Zhu, Xiaomeng Jiang, Yong Li
In this paper, we derive the Onsager--Machlup functional for a second-order Newton-type stochastic system driven by time-dependent fractional noise, \[ X_t'' = f_t(X_t, X_t') + σ_t…