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Renormalization via merging trees

Presented by: 
W Werner ETH Zürich
Date: 
Monday 26th January 2015 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-authors: Stephane Benoist (Columbia Univ.), Laure Dumaz (Univ. of Cambridge)

We present a rather simple setup in which one can formulate some renormalization group ideas, conjectures as well as some results in a concrete manner: For FK-type random cluster models, one relates the scaling limit of a (slight perturbation of the) critical model in terms of a stationary measure of a Markov process acting on a space of weighted graphs. This setup is not restricted to two dimensions (but one expects to be able to prove results only in 2d at this point).

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons