Brownian Excursions, Ising Models and the Riemann Hypothesis -- Possible Connections

Abstract: The distribution of the maximum of a Brownian excursion (BE), known explicitly since 1976, is related to the Riemann zeta and ksi functions. We discuss how if one could *properly* relate either ksi or BE to an Ising model (IM), the Riemann Hypothesis would follow from the 1952 theorem of Lee and Yang about zeros of IM partition functions.

mathematical physics

Audience: researchers in the discipline

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