INTRODUCTION TO DIFFUSION ON FINSLER MANIFOLDS

Diffusion theory on Finsler manifolds is briefly presented, including generalizations of the notions of stochastic parallel transport, stochastic development (rolling), and Brownian motion from the well-known Riemannian case. The results discussed cover the case of an arbitrary h- and v-metrical deflection-free v-symmetric Finsler connection, which proves important in applications, as can be seen from our second paper in this issue involving the so-called Wagner connection.