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References
E. Cartan; Lecons sur la geometrie des espaces de Riemann, Gauthier-Villars, Paris, 1963
D. Durr and A. Bach; The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process, Comm. Math. Phys. 60(1978) 153–170.
T.Fujita and S.Kotani; The Onsager-Machlup functions for diffusion processes, to appear.
R. Graham; Path integral formulation of general diffusion processes, Z. Physik B 26(1979), 281–290
N. Ikeda and S. Manabe; Integral of differential forms along the path of diffusion processes, Publ. RIMS,Kyoto Univ. 15(1979), 827–852.
N.Ikeda and S.Watanabe; Stochastic differential equations and diffusion processes, Kodansha-John Wiley, 1980.
H. Ito; Probabilistic construction of Lagrangean of diffusion processes and its application, Prog.Theoretical Phys. 59(1978), 725–741.
H. Kunita and S. Watanabe; On square integrable martingales, Nagoya Math.J. 30 (1967), 209–245.
L. Onsager and S. Machlup; Fluctuations and irreversible processes, I, II, Phys. Rev. 91(1953), 1505–1512, 1512–1515.
R.L. Stratonovich; On the probability functional of diffusion processes, Select. Transl. in Math. Stat. Prob. 10(1971), 273–286.
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© 1981 Springer-Verlag
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Takahashi, Y., Watanabe, S. (1981). The probability functionals (Onsager-machlup functions) of diffusion processes. In: Williams, D. (eds) Stochastic Integrals. Lecture Notes in Mathematics, vol 851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088735
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DOI: https://doi.org/10.1007/BFb0088735
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