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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.PR2025
Onsager-Machlup Functional for SDE with Time-Varying Fractional Noise
Yanbin Zhu, Xiaomeng Jiang, Yong Li
In this paper, we derive the Onsager-Machlup functional for stochastic differential equations driven by time-varying fractional noise of the form X(t) = x0 + integral from 0 to t b…