The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
(2023) Contemporary Mathematics — (2023)
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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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Citations
Cafasso, M., & Tarricone, S. (2023). The Riemann-Hilbert approach to the generating function of the higher order Airy point processes. Contemporary Mathematics. Accepted/in-press. https://doi.org/10.48550/arXiv.2111.09200 (Original work published 2023)