Universality limits for generalized Jacobi measures

Danka, Tivadar

doi:10.48550/arxiv.1605.04275

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Measures With Compact Support: Universality1

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2016

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“…A very recent and exciting development is the treatment of endpoint and interior power singularities for quite general measures (cf. [14,15,16]). Tivadar Danka, a student of Vili Totik, has developed this theory using a mix of techniques, including Riemann-Hilbert, and reproducing kernel ideas.…”

Section: Measures With Compact Support: Universalitymentioning

confidence: 99%

An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles

Lubinsky¹

2016

SIGMA

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Abstract. We survey the current status of universality limits for m-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, we consider underlying measures on compact intervals, and fixed and varying exponential weights, as well as universality limits for a variety of orthogonal systems. The scope of the survey is quite narrow: we do not consider β ensembles for β = 2, nor general Hermitian matrices with independent entries, let alone more general settings. We include some open problems.

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Section: Measures With Compact Support: Universalitymentioning

confidence: 99%

An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles

Lubinsky¹

2016

SIGMA

View full text Add to dashboard Cite

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Universality limits for generalized Jacobi measures

Cited by 1 publication

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An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles

An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles

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