130 citations · 710 across the 67 of their papers we have counts for
6 papers · 2 filters
Even-order pseudoprocesses on a circle and related Poisson kernels
Enzo Orsingher, Bruno Toaldo
Pseudoprocesses, constructed by means of the solutions of higher-order heat-type equations have been developed by several authors and many related functionals have been analyzed by…
Reflecting diffusions and hyperbolic Brownian motions in multidimensional spheres
Olga Aryasova, Alessandro De Gregorio, Enzo Orsingher
Diffusion processes moving inside spheres and reflecting orthogonally on their surfaces are consid…
Space-time fractional equations and the related stable processes at random time
Enzo Orsingher, Bruno Toaldo
In this paper we consider the general fractional equation \sum_{j=1}^m λ_j \frac{\partial^{ν_j}}{\partial t^{ν_j}} w(x_1,..., x_n ; t) = -c^2 (-Δ)^βw(x_1,..., x_n ; t), for ν_j \in…
Time-changed processes governed by space-time fractional telegraph equations
Mirko D'Ovidio, Enzo Orsingher, Bruno Toaldo
In this work we construct compositions of processes of the form \bm{S}_n^{2β}(c^2 \mathpzc{L}^ν(t) \r, t>0, ν\in (0, 1/2], β\in (0,1], n \in \mathbb{N}, whose distribution is relat…
Probabilistic representation of fundamental solutions to
Enzo Orsingher, Mirko D'Ovidio
For the fundamental solutions of heat-type equations of order we give a general stochastic representation in terms of damped oscillations with generalized gamma distributed par…
Higher-order Laplace equations and hyper-Cauchy distributions
Enzo Orsingher, Mirko D'Ovidio
In this paper we introduce new distributions which are solutions of higher-order Laplace equations. It is proved that their densities can be obtained by folding and symmetrizing Ca…