The partition function of log-gases with multiple odd charges
نویسندگان
چکیده
We use techniques in the shuffle algebra to present a formula for partition function of one-dimensional log-gas comprised particles (possibly) different integer charges at certain inverse temperature $\beta$ terms Berezin integral an associated non-homogeneous alternating tensor. This generalizes previously known results by removing restriction on number species odd charge. Our methods provide unified framework extending de Bruijn identities from classical $\beta$-ensembles ($\beta$ = 1, 2, 4) multicomponent ensembles, as well iterated integrals more general determinantal integrands.
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ژورنال
عنوان ژورنال: Random matrices : theory and applications
سال: 2022
ISSN: ['2010-3263', '2010-3271']
DOI: https://doi.org/10.1142/s2010326322500411