7 citations · 15 across the 13 of their papers we have counts for
6 papers · 1 filter
The and Bi-orthogonal Polynomials on the Unit Circle: Further Properties and Riemann-Hilbert Characterizations
Roozbeh Gharakhloo, Nicholas S. Witte
In previous work \cite{GW}, we developed a theory of modulated \(2j-k\) bi-orthogonal polynomial systems \(\{P_n(z;r),Q_n(z;r)\}\) and \(j-2k\) bi-orthogonal polynomial systems \(\…
Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials
Roozbeh Gharakhloo, Maksim Kosmakov, Kenta Miyahara
In this article, we derive explicit formulae expressing multiple orthogonal polynomials in terms of standard orthogonal polynomials. We treat both the real-line and unit-circle set…
Bordered and Framed Toeplitz and Hankel Determinants with Applications to Integrable Probability
Roozbeh Gharakhloo, Karl Liechty
Bordered and framed Toeplitz/Hankel determinants have the same structure as Toeplitz/Hankel determinants except in small number of matrix rows and/or columns. We review these struc…
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants
Roozbeh Gharakhloo
This work provides the general framework for obtaining strong Szegő limit theorems for multi-bordered, semi-framed, framed, and multi-framed Toeplitz determinants, extending the re…
Openness of Regular Regimes of Complex Random Matrix Models
Marco Bertola, Pavel Bleher, Roozbeh Gharakhloo +2
Consider the general complex polynomial external field Fix an equi…
Modulated Bi-orthogonal Polynomials on the Unit Circle: The and Systems
Roozbeh Gharakhloo, Nicholas S. Witte
We construct the systems of bi-orthogonal polynomials on the unit circle where the Toeplitz structure of the moment determinants is replaced by $ \det(w_{2j-k})_{0\leq j,k \leq N-1…