Abstract
Since the pioneering works by Itô [15,16,17,18] the theory of Brownian motion and stochastic development on Riemannian manifolds has become a classical branch of stochastic calculus (see, for example [10,11,13]) with numerous applications in other areas. In the present article we extend the theory of Brownian motion and stochastic development to the case of Finsler manifolds.
Partially supported by NSERC A-7667. This paper appeared in Vol. 1, 1993, p. 149-171, of Nonlinear World, published by de Gruyter. It appears here with permission of the Editor-in-Chief.
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Antonelli, P.L., Zastawniak, T.J. (1998). Stochastic Calculus on Finsler Manifolds and an Application in Biology. In: Antonelli, P.L., Lackey, B.C. (eds) The Theory of Finslerian Laplacians and Applications. Mathematics and Its Applications, vol 459. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5282-2_5
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DOI: https://doi.org/10.1007/978-94-011-5282-2_5
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