艾里过程的间隙概率

Pub Date : 2020-12-02 DOI:10.1142/s2010326322500228

E. Blackstone, C. Charlier, J. Lenells

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引用次数: 5

摘要

我们考虑在Airy点过程的大部分中，没有点位于[公式:见文本]大间隔上的概率。我们对接近并包含阶振荡的所有渐近项提出了一个猜想[公式:见文]，并证明了这个猜想[公式:见文]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Gap probabilities in the bulk of the Airy process

We consider the probability that no points lie on [Formula: see text] large intervals in the bulk of the Airy point process. We make a conjecture for all the terms in the asymptotics up to and including the oscillations of order [Formula: see text], and we prove this conjecture for [Formula: see text].

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