Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization

DOI10.1007/s11785-010-0063-8zbMath1200.82057arXiv1002.2708OpenAlexW2963252004MaRDI QIDQ601079

Sumit K. Garg

Publication date: 3 November 2010

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2708

zbMATH Keywords

integrable hierarchiesfree fermionslogarithmic gasestau-function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of gases (82D05)

Related Items (2)

Deformed Ginibre ensembles and integrable systems ⋮ On integrability and exact solvability in deterministic and stochastic Laplacian growth

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