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- W4302332504 abstract "We consider the gap probability for the Bessel process in the single-time and multi-time case. We prove that the scalar and matrix Fredholm determinants of such process can be expressed in terms of determinants of integrable kernels `a la Its-Izergin-Korepin-Slavnov and thus related to suitable Riemann-Hilbert problems. In the single-time case, we construct a Lax pair formalism and we derive a Painlev'e III equation related to the Fredholm determinant." @default.
- W4302332504 created "2022-10-06" @default.
- W4302332504 creator A5053652646 @default.
- W4302332504 date "2013-06-24" @default.
- W4302332504 modified "2023-10-16" @default.
- W4302332504 title "Riemann-Hilbert approach to gap probabilities for the Bessel process" @default.
- W4302332504 doi "https://doi.org/10.48550/arxiv.1306.5663" @default.
- W4302332504 hasPublicationYear "2013" @default.
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