51 citations · 98 across the 40 of their papers we have counts for
6 papers · 1 filter
Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited
Noah Hout, Kenta Miyahara, Dustin Newland +1
Following the work of Deift and Zhou (DOI:10.1007/978-1-4615-2474-8_15), we analyze the long-time asymptotics of the autocorrelation function of the transverse Ising chain at the c…
On Airy solutions of P and the complex cubic ensemble of random matrices, II
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We describe the pole-free regions of the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions. This is ac…
On Airy Solutions of P and Complex Cubic Ensemble of Random Matrices, I
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We show that the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions, as well as associated solutions of…
Investigation of the two-cut phase region in the complex cubic ensemble of random matrices
Ahmad Barhoumi, Pavel M. Bleher, Alfredo Deaño +1
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential where is a complex parameter. As proven i…
Topological Expansion in the Complex Cubic Log-Gas Model. One-Cut Case
Pavel M. Bleher, Alfredo Deaño, Maxim Yattselev
We prove the topological expansion for the cubic log-gas partition function \[ Z_N(t)= \int_Γ\cdots\int_Γ\prod_{1\leq j<k\leq N}(z_j-z_k)^2 \prod_{k=1}^Ne^{-N\left(-\frac{z^3}{3}+t…
Root Statistics of Random Polynomials with Bounded Mahler Measure
Christopher D. Sinclair, Maxim L. Yattselev
The Mahler measure of a polynomial is a measure of complexity formed by taking the modulus of the leading coefficient times the modulus of the product of its roots outside the unit…