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math.PR2020
Asymptotic results for the absorption time of telegraph processes with elastic boundary at the origin
Claudio Macci, Barbara Martinucci, Enrica Pirozzi
We consider a telegraph process with elastic boundary at the origin studied recently in the literature. It is a particular random motion with finite velocity which starts at $x\geq…
math.PR2020
Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics
Claudio Macci, Maurizia Rossi, Anna Paola Todino
We prove Moderate Deviation estimates for nodal lengths of random spherical harmonics both on the whole sphere and on shrinking spherical domains. Central Limit Theorems for the la…
math.PR2020
Large deviations for a class of tempered subordinators and their inverse processes
Nikolai Leonenko, Claudio Macci, Barbara Pacchiarotti
We consider a class of tempered subordinators, namely a class of subordinators with one-dimensional marginal tempered distributions which belong to a family studied in [3]. The mai…