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The finite temperature discrete Bessel kernel and integrable equations

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

Using the theory of discrete integrable operators and discrete Riemann-Hilbert problems, I will show that the largest particle distribution of the point process associated to the finite-temperature discrete Bessel kernel satisfies some interesting integrable equations such as, for example, the cylindrical Toda equation. This is a joint work with Giulio Ruzza.

This talk is part of the Isaac Newton Institute Seminar Series series.

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