We consider the planar random motion of a particle that moves with constant finite speed c
and, at Poisson-distributed times, changes its direction θ with uniform law in [0, 2π). This …

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 …

A cyclic random motion at finite velocity with orthogonal directions is considered in the plane
and in $\mathbb {R}^ 3$. We obtain in both cases the explicit conditional distributions of the …

Planar run-and-tumble walks with orthogonal directions of motion are considered. After
formulating the problem with generic transition probabilities among the orientational states …

Consider a planar random motion with constant velocity and three directions forming the
angles~/6, 5~/6 and 3~/2 with the x-axis, such that the random times between consecutive …

We study the probability distribution of the location of a particle performing a cyclic random
motion in. The particle can take n possible directions with different velocities and the …

We consider the random motion of a particle that moves with constant velocity in R 3. The
particle can move along four different directions that are attained cyclically. It follows that the …

In this paper, a cyclic random motion with four directions forming a regular tetrahedron in the
Euclidean space R 3 is considered. Changes of direction are governed by a homogenous …

We study a planar random motion $\big (X (t),\, Y (t)\big) $ with orthogonal directions, where
the direction switches are governed by a homogeneous Poisson process. At each Poisson …

We study a planar random motion $\big (X (t), Y (t)\big) $ with orthogonal directions which
can turn clockwise, counterclockwise and reverse its direction each with a different …