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arXiv · 2111.09200

The Riemann-Hilbert approach to the generating function of the higher order Airy point processes

Mattia Cafasso·Sofia Tarricone
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Abstract

We prove a Tracy-Widom type formula for the generating function of occupancy numbers on several disjoint intervals of the higher order Airy point processes. The formula is related to a new vector-valued Painlevé II hierarchy we define, together with its Lax pair.

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Mattia Cafasso, Sofia Tarricone. 2021-11-17. The Riemann-Hilbert approach to the generating function of the higher order Airy point processes. https://arxiv.org/abs/2111.09200

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