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The Ising Model Coupled to 2D Gravity: Critical Partition Function
Maurice Duits, Nathan Hayford, Seung-Yeop Lee
We prove that the differential of the log of the partition function for the -matrix model with quartic interactions converges in a certain double-scaling regime to the different…
The Ising Model Coupled to 2D Gravity: Genus Zero Partition Function
Maurice Duits, Nathan Hayford, Seung-Yeop Lee
We compute the genus 0 free energy for the 2-matrix model with quartic interactions, which acts as a generating function for the Ising model's partition function on a random, 4-reg…
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
Ferenc Balogh, Marco Bertola, Seung Yeop Lee +1
We consider the orthogonal polynomials with respect to the measure over the whole complex plane. We obtain the stron…
First colonization of a hard-edge in random matrix theory
M. Bertola, S. Y. Lee
We describe the spectral statistics of the first finite number of eigenvalues in a newly-forming band on the hard-edge of the spectrum of a random Hermitean matrix model. It is fou…