----------------------------------------------------------------------------- A v v i s o d i S e m i n a r i o ----------------------------------------------------------------------------- Venerdì 28 Novembre, ore 10 -----------------------------------------------------------------------------

Stanza 34 Dipartimento di Scienze Statistiche Sapienza Università di Roma

PROF. CORRADO MASCIA (Dipartimento di Matematica "G. Castelnuovo", Sapienza Università di Roma)

terrà un seminario dal titolo:

*Parabolic behavior of hyperbolic systems describing velocity-jump processes*

*Abstract:* *The talk concerns with the large-time behavior of a class of* *hyperbolic systems of partial differential equations and its relation*

*with corresponding (reduced) parabolic equations. The basic prototypeis the Goldstein-Kac model for correlated random walks, interpreted asa variation of the classical heat equation.Areas of interest of the topic will be presented, together with aselection of known rigorous mathematical results available in theliterature. Additionally, the asymptotic description of ageneralization of the Goldstein-Kac model to an arbitrary number ofspeeds in several dimensions (based on an application of a variant ofthe Kirchoff’s matrix tree Theorem from graph theory) will bepresented in details.*

Tutti gli interessati sono invitati a partecipare.

Saluti Alessandro De Gregorio