Abstract
The theory of diffusion processes on Riemannian manifolds, which goes back to the pioneering articles [7], [8], [9], [10] by Itô, has now become a classical branch of stochastic calculus (see, for example, [4], [5], [6]). Recently, the theory has been extended by the present authors [1], [2] to the case of diffusions on Finsler manifolds, the extension being motivated by certain models in developmental and population biology involving systems in a noisy environment. The goal of this article is to represent and study Finslerian diffusions as processes on the slit tangent bundle TM and the indicatrix bundle I M of a Finsler manifold M.
Partially supported by NSERC A-7667. This article appeared in Tensor, N.S. 56, 1995, 233-247.
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Antonelli, P.L., Zastawniak, T.J. (1998). Diffusion on the Tangent and Indicatrix Bundles of a Finsler Manifold. 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_6
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