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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Statistics Seminars: Entanglement in percolation

Presented by "Geoffrey Grimmett (Statistical Laboratory, University of Cambridge)",

27 April 2001 00:00 in CM221

"In response in part to the interest of physicists in the entanglement of polymers in disordered systems, Ander Holroyd and I have been studying the rigorous theory of entanglement in percolation. There is some ambiguity in achieving the `right' definition of an infinite entanglement in three-dimensional space, but one may present minimal and maximal sets of conditions which turn out to be related to the concepts of free and wired boundary conditions in mathematical physics. There is an `entanglement phase transition', and one is led just as in connectivity percolation to questions concerning exponential decay, and uniqueness of the infinite entanglement. Some of these questions may be answered, but there remain open problems of interest."

room CM103 at 3.30 - 4.15 pm

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