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A simple resummation method for cluster expansions

Wednesday 23rd January 2008 - 14:00 to 14:30
INI Seminar Room 1

I will present a simple and (possibly) new method of organizing the (+/- cancellations in the) cluster expansions of polymer models, hard repulsion case. The method is suitable for models where polymers are "cycles" or closed paths in a lattice (Kramers-Wannier representation of the Ising model, perturbations of massless Gaussians) also in several cases where expansions are only nonabsolutely summable.

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