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Statut |
Confirmé |
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Série |
SEM-LPTM-UCP |
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Domaines |
cond-mat.stat-mech |
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Date |
Jeudi 16 Novembre 2017 |
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Heure |
15:00 |
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Institut |
LPTM |
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Salle |
4.13 St Martin II |
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Nom de l'orateur |
Mackay |
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Prenom de l'orateur |
Robert |
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Addresse email de l'orateur |
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Institution de l'orateur |
Mathematics Institute, University of Warwick |
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Titre |
Phase transitions in spatially extended dynamical systems |
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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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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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