We consider isotropic random motion where the direction alternations occur according to the renewal epochs of a Gamma distribution with shape parameter (n−2)/2, n=4,5,6,…, in higher dimensions. We formulate a general renewal-type equation for the characteristic function and we solve the...

We discuss a random two-velocity process on the line with space-dependent exogenous drift. For this process, the probability density and the associated “probability current” are shown to be in a supersymmetric relation.