The partition function of multicomponent log-gases

DOI10.1088/1751-8113/45/16/165002zbMath1252.82069arXiv1201.0223OpenAlexW2001351657MaRDI QIDQ2888579

Christopher D. Sinclair

Publication date: 1 June 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0223

zbMATH Keywords

partition functioncanonical ensemblecorrelation functionsrandom matrix theoryGrassmann algebrasdeterminantal point processgrand canonical ensembleeigenvalue statisticsPfaffian point processBerezin integralconfluent Vandermonde determinantmatrix ensemblesinteracting charged particlesone-dimensional log-gas

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Classical equilibrium statistical mechanics (general) (82B05) Random matrices (algebraic aspects) (15B52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Exterior algebra, Grassmann algebras (15A75)

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