Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights
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Publication:957979
DOI10.1016/j.aim.2008.09.001zbMath1153.39027arXivmath-ph/0605043OpenAlexW2014721377MaRDI QIDQ957979
Publication date: 2 December 2008
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0605043
Related Items (24)
Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials ⋮ On smooth perturbations of Chebyshëv polynomials and -Riemann–Hilbert method ⋮ Real-normalized differentials with a single order 2 pole ⋮ Shocks and finite-time singularities in Hele-Shaw flow ⋮ Strong Asymptotics of the Orthogonal Polynomials with Respect to a Measure Supported on the Plane ⋮ Supercritical regime for the kissing polynomials ⋮ Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature ⋮ Asymptotic expansion of matrix models in the multi-cut regime ⋮ Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes ⋮ Determination ofS-curves with applications to the theory of non-Hermitian orthogonal polynomials ⋮ Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model ⋮ On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight ⋮ Boutroux curves with external field: equilibrium measures without a variational problem ⋮ S-curves in polynomial external fields ⋮ Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves ⋮ First colonization of a hard-edge in random matrix theory ⋮ Zero distribution of complex orthogonal polynomials with respect to exponential weights ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ The resurgence of instantons: multi-cut Stokes phases and the Painlevé II equation ⋮ The Cauchy two-matrix model ⋮ Roots of generalised Hermite polynomials when both parameters are large ⋮ Phase structure and asymptotic zero densities of orthogonal polynomials in the cubic model ⋮ All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials ⋮ Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation
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