7 citations · 15 across the 13 of their papers we have counts for
3 papers · 1 filter
Universal Asymptotics and Exact Enumeration of Eulerian Maps
Ahmad Barhoumi, Roozbeh Gharakhloo, Nathan Hayford
We calculate the asymptotics of the number of connected, labeled, genus Eulerian maps with an arbitrary degree sequence, in the limit as the total number of vertices tends to i…
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…