A relativistically covariant random walk

Abstract

In this work we present and analyze an extremely simple relativistically covariant random walk model. In our approach, the probability density and the. flow of probability arise naturally as the components of a four-vector and they are related to one another via a tensorial constitutive equation. We show that the system can be described in terms of an underlying invariant space - time random walk parameterized by the number of sojourns. Finally, we obtain explicit expressions for the moments of the covariant random walk as well as for the underlying invariant random walk.