Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-LPTM-UCP
Domaines cond-mat.stat-mech
Date Jeudi 16 Novembre 2017
Heure 15:00
Institut LPTM
Salle 4.13 St Martin II
Nom de l'orateur Mackay
Prenom de l'orateur Robert
Addresse email de l'orateur
Institution de l'orateur Mathematics Institute, University of Warwick
Titre Phase transitions in spatially extended dynamical systems
Résumé A dynamical system extended in N space dimensions can be viewed as an (N+1)-dimensional statistical mechanics system in space-time. Thus it was conjectured by Bunimovich and Sinai that there should be topologically transitive spatially extended dynamical systems with non-unique statistical state. With Gielis, I constructed some examples, based on Toom’s results for probabilistic cellular automata. I have extended the ideas to make a variety of examples of non-unique state and families with phase transition. I propose that the concepts are crucial for the management of complex systems such as the economy.
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