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math.PR2022
Pseudoprocesses related to higher-order equations of vibrations of rods
Manfred Marvin Marchione, Enzo Orsingher
In this paper we study Fresnel pseudoprocesses whose signed measure density is a solution to a higher-order extension of the equation of vibrations of rods. We also investigate spa…
math.PR2022
Random motions in with orthogonal directions
Fabrizio Cinque, Enzo Orsingher
This paper is devoted to the detailed analysis of three-dimensional motions in with orthogonal directions switching at Poisson times and moving with constant speed $…
math.PR2022★ 1 cited
Stable distributions and pseudo-processes related to fractional Airy functions
Manfred Marvin Marchione, Enzo Orsingher
In this paper we study pseudo-processes related to odd-order heat-type equations composed with Lévy stable subordinators. The aim of the article is twofold. We first show that the…