2 citations · 2 across the 3 of their papers we have counts for
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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…