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 Tooms 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. |
Numéro de preprint arXiv |
|
Commentaires |
|
Fichiers attachés |
|