The Onsager-Machlup action functional for degenerate SDEs driven by fractional Brownian motion

2023/12/06 by Liu, Shanqi, Gao, Hongjun
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2312.03269

Abstract

In this paper, the explicit expression of Onsager-Machlup action functional to degenerate stochastic differential equations driven by fractional Brownian motion is derived provided the diffusion coeffcient and reference path satisfy some suitable conditions. Then fractional Euler-Lagrange equations for Onsager-Machlup action functional are also obtained. Finally, some examples are provided to illustrate our results.

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