130 citations · 710 across the 67 of their papers we have counts for
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Flying randomly in with Dirichlet displacements
Alessandro De Gregorio, Enzo Orsingher
Random flights in with Dirichlet-distributed displacements and uniformly distributed orientation are analyzed. The explicit characteristic functions of the…
Travelling Randomly on the Poincaré Half-Plane with a Pythagorean Compass
Valentina Cammarota, Enzo Orsingher
A random motion on the Poincaré half-plane is studied. A particle runs on the geodesic lines changing direction at Poisson-paced times. The hyperbolic distance is analyzed, also in…
Angular processes related to Cauchy random walks
Valemtina Cammarota, Enzo Orsingher
We study the angular process related to random walks in the Euclidean and in the non-Euclidean space where steps are Cauchy distributed. This leads to different types of non-linear…
Cascades of Particles Moving at Finite Velocity in Hyperbolic Spaces
Valentina Cammarota, Enzo Orsingher
A branching process of particles moving at finite velocity over the geodesic lines of the hyperbolic space (Poincaré half-plane and Poincaré disk) is examined. Each particle can sp…
Randomly Stopped Nonlinear Fractional Birth Processes
Enzo Orsingher, Federico Polito
We present and analyse the nonlinear classical pure birth process $\mathpzc{N} (t)$, , and the fractional pure birth process $\mathpzc{N}^ν(t)$, , subordinated to various…
Compositions, Random Sums and Continued Random Fractions of Poisson and Fractional Poisson Processes
Enzo Orsingher, Federico Polito
In this paper we consider the relation between random sums and compositions of different processes. In particular, for independent Poisson processes , , , we s…