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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…
math.DS2025
The Onsager-Machlup functional for distribution dependent SDEs driven by fractional Brownian motion
Yanbin Zhu, Xiaomeng Jiang, Yong Li
In this paper, we compute the Onsager-Machlup functional for distribution dependent SDEs driven by fractional Brownian motions with Hurst parameter . In the c…