Research output: Contribution to journal › Article

Thomas Joachim Bothner, Percy Deift, Alexander Its, Igor Krasovsky

Original language | English |
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Journal | JOURNAL OF MATHEMATICAL PHYSICS |

Volume | 59 |

Early online date | 7 Sep 2018 |

DOIs | |

Accepted/In press | Aug 2018 |

E-pub ahead of print | 7 Sep 2018 |

**The Sine Process_BOTHNER_published 7 September 18_GREEN AAM**The_Sine_Process_BOTHNER_published_7_September_18_GREEN_AAM.pdf, 402 KB, application/pdf

Uploaded date:24 Sep 2018

We review the authors’ recent work where we obtain the uniform large s asymptotics for the Fredholm determinant D(s,γ)≔det(I−γKs↾L2(−1,1)), 0 ≤ γ ≤ 1. The operator Ks acts with kernel Ks(x, y) = sin(s(x − y))/(π(x − y)), and D(s, γ) appears for instance in Dyson’s model of a Coulomb log-gas with varying external potential or in the bulk scaling analysis of the thinned Gaussian unitary ensemble.

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