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On the basis of perturbed Kolmogorov backward equations and path integralrepresentation, we unify the derivations of the linear response theory andtransient fluctuation theorems for continuous diffusion processes from abackward point of view. We find that a variety of transient fluctuationtheorems could be interpreted as a consequence of a generalizedChapman-Kolmogorov equation, which intrinsically arises from the Markoviancharacteristic of diffusion processes.

Linear response theory and transient fluctuation theorems for diffusion processes: a backward point of view