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LA Probability Forum

Thursday, November 3, 2022
5:00pm to 6:00pm
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Random dimer coverings of the Aztec diamond with doubly periodic edge weights
Tomas Berggren, Department of Mathematics, MIT,

Talk held at UCLA in Math Sciences Room 6627

This talk will be centered around domino tilings, or dimer coverings, of the Aztec diamond with doubly periodic edge weights. Such model exhibits a rich structure, for instance, in the limit three types of regions may appear, the frozen, rough and smooth regions (also known as solid, liquid and gas regions). We will discuss asymptotic results, both on the macroscopic and microscopic scale.

The asymptotic results rely on an expression of the correlation kernel in terms of a Wiener-Hopf factorization of a matrix valued function, which is defined in terms of the edge weights. If time permits, we will discuss how such Wiener-Hopf factorization sometimes can be obtained in a form that are suitable for asymptotic analysis.

For more information, please contact Math Dept by phone at 626-395-4335 or by email at [email protected].