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

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 Painlev\'e II hierarchy we define, together with its Lax pair.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03435385
Contributor : Mattia Cafasso Connect in order to contact the contributor
Submitted on : Thursday, November 18, 2021 - 4:56:53 PM
Last modification on : Friday, November 19, 2021 - 3:49:08 AM

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  • HAL Id : hal-03435385, version 1
  • ARXIV : 2111.09200

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Mattia Cafasso, Sofia Tarricone. The Riemann-Hilbert approach to the generating function of the higher order Airy point processes. 2021. ⟨hal-03435385⟩

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