********************************************************************* SEMINARI DI PROBABILITA' E STATISTICA MATEMATICA DIPARTIMENTO DI MATEMATICA "G. PEANO" UNIVERSITA' DEGLI STUDI DI TORINO *********************************************************************

Martedì 10 Novembre 2015 alle ore 14:30 in Aula C presso il Dipartimento di Matematica "G. Peano" dell'Università degli Studi di Torino, Via Carlo Alberto 10,

Il Prof. ENRICO SCALAS (Department of Mathematics, University of Sussex, UK)

terrà un seminario dal titolo

EXACTLY-SOLVABLE NON-MARKOVIAN DYNAMIC NETWORK

Abstract:

Non-Markovian processes are widespread in natural and human-made systems, yet explicit modelling and analysis of such systems is underdeveloped. In this letter we consider a dynamic network with random link activation and deletion (RLAD) with non-exponential inter-event times. We study a semi-Markov random process when the inter-event times are heavy tailed Mittag-Leffler distributed, thus considerably slowing down the corresponding Markovian dynamics and study the system far from equilibrium. We derive an analytically and computationally tractable system of forward equations utilizing the Caputo derivative for the probability of having a given number of active links in the network.

http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.042801

Tutti gli interessati sono invitati a partecipare.

-- Federico Polito

Department of Mathematics University of Torino Via Carlo Alberto, 10 10123, Torino, Italy Email: federico.polito@unito.it Tel: +39 011 6702937 Web: www.federicopolito.it