49 citations · 226 across the 32 of their papers we have counts for
36 papers
On Toeplitz determinants with slow Fourier decay
Nedialko Bradinoff, Maurice Duits
We study Toeplitz determinants for whose Fourier coefficients satisfy . This regime extends beyond and includes symbols with Fisher-H…
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 Gamma-disordered Aztec diamond
Maurice Duits, Roger Van Peski
We introduce a multi-parameter family of random edge weights on the Aztec diamond graph, given by certain Gamma variables, and prove several results about the corresponding random…
The lozenge tiling model via non-Hermitian orthogonal polynomials
Ahmad Barhoumi, Maurice Duits
We consider the lozenge tiling model on a large, finite hexagon. It is well-known that random lozenge tilings of the hexagon correspond to a two-dimensional deter…
Fluctuations in Various Regimes of Non-Hermiticity and a Holographic Principle
G. Akemann, M. Duits, L. D. Molag
The variance of the number of particles in a set is an important quantity in understanding the statistics of non-interacting fermionic systems in low dimensions. An exact map of th…
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…