The aim of this note is to deepen the knowledge of isotropic random flights moving in mixed Poisson media; that is we analyze the random evolution of a particle with random scattering rate ⇤. By assuming ⇤ distributed according to some standard probability laws, we are able to explicit the probability measure of the random flights. Furthermore, we show that there exists a link between our processes and a inhomogeneous wave equation.
A note on isotropic random flights moving in mixed Poisson environments / DE GREGORIO, Alessandro. - In: STATISTICS & PROBABILITY LETTERS. - ISSN 0167-7152. - STAMPA. - 129:(2017), pp. 311-317. [10.1016/j.spl.2017.06.021]
A note on isotropic random flights moving in mixed Poisson environments
Alessandro De Gregorio
2017
Abstract
The aim of this note is to deepen the knowledge of isotropic random flights moving in mixed Poisson media; that is we analyze the random evolution of a particle with random scattering rate ⇤. By assuming ⇤ distributed according to some standard probability laws, we are able to explicit the probability measure of the random flights. Furthermore, we show that there exists a link between our processes and a inhomogeneous wave equation.| File | Dimensione | Formato | |
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