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(14:00-16:00 UTC) Speaker: Richard Kenyon (Yale)

Title: The multi-tiling model

Abstract: Given a graph G and collection of connected subgraphs T (called tiles),  we consider covering G with copies of tiles in T so that each vertex of G is covered with a predetermined multiplicity. The multitiling model is a natural probability measure on such configurations.
In the limit of large multiplicities we compute the asymptotic growth rate of the number of multitilings: the free energy of the multitiling model. We will show that the individual tile densities tend to a Gaussian field with respect to an associated discrete Laplacian. We also find an exact discrete Coulomb gas limit when we vary the multiplicities.
This is joint work with Andrei Pohoata (Yale).

Please note: Richard Kenyon will be giving both talks in the session.

Meeting-ID: 832 2819 8137