CURRICULUM VITÆ of Angelo Vulpiani

1 In Memoriam : Radu Balescu

On the foundations of statistical mechanics: ergodicity, many degrees of freedom and inference

Sergio Chibbaro and Lamberto Rondoni and Angelo Vulpiani 1 Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, (France) 2 Dip. Scienze Matematiche, Politecnico di Torino, C. Duca degli Abruzzi 24, Torino. 3 INFN, Sezione di Torino, Via P. Giuria 1, Torino (Italy). 4 Dipartimento di Fisica, Università”La Sapienza” Roma (Italy) 5 ISC-CNR, Piaz...

Transference of relationship qualities to a virtual world

..............................................................................................................................................IV Zusammenfassung..............................................................................................................................V Chapter 1: Introduction.........................................................................................

Coarse-grained probabilistic automata mimicking chaotic systems.

Discretization of phase space usually nullifies chaos in dynamical systems. We show that if randomness is associated with discretization dynamical chaos may survive and be indistinguishable from that of the original chaotic system, when an entropic, coarse-grained analysis is performed. Relevance of this phenomenon to the problem of quantum chaos is discussed.

Markov-chain approach to a process with long-time memory

We show that long-term memory effects, present in the chaotic dispersion process generated by a meandering jet model, can be nonetheless taken into account by a first order Markov process, provided that the states of the phase space partition, chosen to describe the system, be appropriately defined.