7 citations · 15 across the 13 of their papers we have counts for
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A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants II
Roozbeh Gharakhloo, Alexander Its
In this article, we continue the development of the Riemann-Hilbert formalism for studying the asymptotics of Toeplitz+Hankel determinants with non-identical symbols, which we init…
Phase Diagram and Topological Expansion in the Complex Quartic Random Matrix Model
Pavel Bleher, Roozbeh Gharakhloo, Kenneth T-R McLaughlin
We use the Riemann-Hilbert approach, together with string and Toda equations, to study the topological expansion in the quartic random matrix model. The coefficients of the topolog…
Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
Estelle Basor, Torsten Ehrhardt, Roozbeh Gharakhloo +2
We prove the analogue of the strong Szeg{\H o} limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang a…
A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants
Roozbeh Gharakhloo, Alexander Its
In this paper we will formulate Riemann-Hilbert problems for Toeplitz+Hankel determinants and the associated system of orthogonal polynomials, when the Hankel symbol is…
Riemann-Hilbert approach to a generalised sine kernel
R. Gharakhloo, A. R. Its, K. K. Kozlowski
We derive the large distance asymptotics of the Fredholm determinant of the so-called generalised sine kernel at the critical point. This kernel corresponds to a generalisation of…
Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities
Christophe Charlier, Roozbeh Gharakhloo
We obtain large asymptotics of Hankel determinants whose weight has a one-cut regular potential and Fisher-Hartwig singularities. We restrict our attention to the…