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Pfaffian lattice and Hydrodynamic chains

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

The Pfaff lattice represents the integrable discrete structure associated with the deformation of random symmetric matrix ensembles. We study the case for which the weight function in the joint probability density function is even, with focus on the thermodynamic limit of the field variables populating the lattice. At the leading order a system of infinitely many PDEs emerges, that can be recast in the form of a new integrable hydrodynamic chain. 

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

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