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Caltech

LA Probability Forum

Thursday, February 6, 2025
5:00pm to 6:00pm
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Bethe Ansatz for PushASEP on the ring
Axel Saenz Rodriguez, Department of Mathematics, Oregon State University,

USC Kaprielian (KAP) 414

Interactive particle systems on the ring provide access to transition between KPZ and Gaussian statistics. In collaboration with J. Li (National Taiwan University), we compute limiting fluctuations for PushASEP on the ring under the relaxation time scale, extending the work of Baik-Liu for periodic TASEP. Our methods are based on the coordinate Bethe Ansatz and contour integral formulas. In the talk, I will describe the results in detail the key ideas for the proofs. The talk will be accessible to a wide audience and no special background is assumed.

For more information, please contact Math Dept by phone at 626-395-4335 or by email at mathinfo@caltech.edu.