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- W4327992078 abstract "We study J'anossy densities of a randomly thinned Airy kernel determinantal point process. We prove that they can be expressed in terms of solutions to the Stark and cylindrical Korteweg-de Vries equations; these solutions are Darboux tranformations of the simpler ones related to the gap probability of the same thinned Airy point process. Moreover, we prove that the associated wave functions satisfy a variation of Amir-Corwin-Quastel's integro-differential Painlev'e II equation. Finally, we derive tail asymptotics for the relevant solutions to the cylindrical Korteweg-de Vries equation and show that they decompose asymptotically into a superposition of simpler solutions." @default.
- W4327992078 created "2023-03-21" @default.
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- W4327992078 date "2023-03-17" @default.
- W4327992078 modified "2023-09-25" @default.
- W4327992078 title "J'anossy densities and Darboux transformations for the Stark and cylindrical KdV equations" @default.
- W4327992078 doi "https://doi.org/10.48550/arxiv.2303.09848" @default.
- W4327992078 hasPublicationYear "2023" @default.
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