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On the intersection number of the path of a diffusion and chains. (English) Zbl 0478.58031

MSC:
58J65 Diffusion processes and stochastic analysis on manifolds
58A12 de Rham theory in global analysis
60J65 Brownian motion
58A10 Differential forms in global analysis
60J60 Diffusion processes
55M25 Degree, winding number
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References:
[1] G. de Rham: Varietes Differentiates. Hermann (1960).
[2] N. Ikeda and S. Manabe: Integral of differential forms along the path of diffusion processes (to appear). · Zbl 0462.60056
[3] N. Ikeda and S. Manabe: Stochastic integral of differential forms and its applications. Proc. Internat. Conf. on Stoch. Analysis (ed. by A. Friedman and M. Pinsky) Northwestern Univ., pp. 175-185 (1978). · Zbl 0451.60060
[4] H. P. McKean: Stochastic Integrals. Academic Press (1969). · Zbl 0191.46603
[5] E. H. Spanier: Algebraic Topology. McGraw-Hill (1966). · Zbl 0145.43303
[6] H. Watanabe: Potential operator of a recurrent strong Feller process in the strict sense and boundary value problem. J. Math. Soc. Japan, 16, 83-95 (1964). · Zbl 0139.34604
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