Stochastic Calculus on Finsler Manifolds and an Application in Biology

  • P. L. Antonelli
  • T. J. Zastawniak
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 459)

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.

Keywords

Riemannian Manifold Standard Brownian Motion Stochastic Calculus Stochastic Development Finsler Space 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • P. L. Antonelli
  • T. J. Zastawniak

There are no affiliations available

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