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Status |
Confirmed |
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Seminar Series |
SEM-LPTM-UCP |
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Subjects |
cond-mat.stat-mech |
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Date |
Thursday 16 November 2017 |
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Time |
15:00 |
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Institute |
LPTM |
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Seminar Room |
4.13 St Martin II |
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Speaker's Last Name |
Mackay |
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Speaker's First Name |
Robert |
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Speaker's Email Address |
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Speaker's Institution |
Mathematics Institute, University of Warwick |
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Title |
Phase transitions in spatially extended dynamical systems |
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Abstract |
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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arXiv Preprint Number |
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