29 citations · 187 across the 39 of their papers we have counts for
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math.PR2013★ 14 cited
Coordinate changed random fields on manifolds
Mirko D'Ovidio, Erkan Nane
We introduce a class of time dependent random fields on compact Riemannian monifolds. These are represented by time-changed Brownian motions. These processes are time-changed diffu…
math.PR2013
Fractional Diffusion-Telegraph Equations and their Associated Stochastic Solutions
Mirko D'Ovidio, Federico Polito
We present the stochastic solution to a generalized fractional partial differential equation involving a regularized operator related to the so-called Prabhakar operator and admitt…
math-ph2013★ 5 cited
Fractional gradient and its application to the fractional advection equation
M. D'Ovidio, R. Garra
In this paper we provide a definition of fractional gradient operators, related to directional derivatives. We develop a fractional vector calculus, providing a probabilistic inter…