Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Duits, Maurice"'
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, $4$-regular, planar graph. This rigorously confirms the predictions of
Externí odkaz:
http://arxiv.org/abs/2405.03259
We study the limiting behavior of random lozenge tilings of the hexagon with a q-Racah weight as the size of the hexagon grows large. Based on the asymptotic behavior of the recurrence coefficients of the q-Racah polynomials, we give a new proof for
Externí odkaz:
http://arxiv.org/abs/2311.13407
Autor:
Duits, Maurice, Holcomb, Diane
We study a double scaling limit for a solution of the discrete Painlev\'e II equation with boundary conditions. The location of the right boundary point is in the critical regime where the discrete Painlev\'e equation turns into the continuous Painle
Externí odkaz:
http://arxiv.org/abs/2304.02918
Autor:
Bradinoff, Nedialko, Duits, Maurice
We study the individual digits for the absolute value of the characteristic polynomial for the Circular $\beta$-Ensemble. We show that, in the large $N$ limit, the first digits obey Benford's Law and the further digits become uniformly distributed. K
Externí odkaz:
http://arxiv.org/abs/2302.02932
Autor:
Chhita, Sunil, Duits, Maurice
This paper is motivated by computing correlations for domino tilings of the Aztec diamond. It is inspired by two of the three distinct methods that have recently been used in the simplest case of a doubly periodic weighting, that is the two-periodic
Externí odkaz:
http://arxiv.org/abs/2208.01344
Autor:
Borodin, Alexei, Duits, Maurice
We study a biased $2\times 2$ periodic random domino tilings of the Aztec diamond and associate a linear flow on an elliptic curve to this model. Our main result is a double integral formula for the correlation kernel, in which the integrand is expre
Externí odkaz:
http://arxiv.org/abs/2203.11885
We study the fluctuations of linear statistics with polynomial test functions for Multiple Orthogonal Polynomial Ensembles. Multiple Orthogonal Polynomial Ensembles form an important class of determinantal point processes that include random matrix m
Externí odkaz:
http://arxiv.org/abs/1912.04599
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