Speaker
Maurice Duits
(KTH)
Description
I will report on a recent joint work with Alexei Borodin on the biased doubly periodic Aztec diamond. Our main result is a double integral formula for the correlation kernel, in which the integrand is expressed in terms of a linear flow on an elliptic curve. For special choices of parameters the flow is periodic, and this allows us to perform a saddle point analysis for the correlation kernel. I will discuss how, in these periodic cases, one can compute the local correlations in the smooth disordered (or gaseous) region.
Primary author
Maurice Duits
(KTH)
