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Renormalization via merging trees

Presented by: 
W Werner ETH Zürich
Monday 26th January 2015 - 10:00 to 11:00
INI Seminar Room 1
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).

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