Il prof. Claudio Macci - del Dipartimento di Matematica, Università di Roma Tor Vergata - sara' ospite del Dipartimento di matematica "L. Tonelli", Universita' di Pisa, nei giorni 24-25-26 maggio prossimi. Terrà un seminario dal titolo:

"Large deviation principles for telegraph processes and random flights"

il giorno 25 maggio alle ore 18.15, in Aula Riunioni.

Tutti gli interessati sono invitati a partecipare.

Rita Giuliano ***************************************************** ABSTRACT

The aim of this paper is to derive large deviation results for random motions with finite velocity. We start with large deviation principles for the telegraph process with drift: we consider both non-conditional distributions and conditional distributions, and we compare the speeds of convergence with inequalities between rate functions. The same results are presented for the random flights in R^2 and in R^4 which represent a multidimensional version of the telegraph process. Other large deviation principles in this paper concern the non-conditional distributions for an inhomogeneous telegraph process and for a planar random motion with orthogonal directions. Joint work with Alessandro De Gregorio.