We address the problem of telegraphic transport in several dimensions. We review the
derivation of two and three dimensional telegrapher's equations—as well as their fractional …

We present three different fractional versions of the Poisson process and some related
results concerning the distribution of order statistics and the compound Poisson process …

We define the classic Goldstein-Kac telegraph process performed by a particle that moves
on the real line with some finite constant speed and alternates between two possible …

We consider in this paper random flights in ℝ d performed by a particle changing direction of
motion at Poisson times. Directions are uniformly distributed on hyperspheres S 1 d. We …

Random flights (also called run-and-tumble walks or transport processes) represent finite
velocity random motions changing direction at any Poissonian time. These models in d …

We study planar random motions with finite velocities, of norm c> 0, along orthogonal
directions and changing at the instants of occurrence of a nonhomogeneous Poisson …

This paper is devoted to the detailed analysis of three-dimensional motions in R 3 with
orthogonal directions switching at Poisson times and moving with constant speed c> 0. The …

Markov Random Flights is the first systematic presentation of the theory of Markov random
flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic …

We present a general method of studying the transport process \boldX(t), t≥ 0, in the
Euclidean space ℝ m, m≥ 2, based on the analysis of the integral transforms of its …

This paper is devoted to the analysis of random motions on the line and in the space R^ d
(d> 1) performed at finite velocity and governed by a non-homogeneous Poisson process …