Functional equations solving initial-value problems of complex Burgers-type equations for one-dimensional log-gases

DOI10.3842/SIGMA.2022.049zbMath1492.82010arXiv2106.00442OpenAlexW4283781016MaRDI QIDQ2155677

Taiki Endo, Noriyoshi Sakuma, Makoto Katori

Publication date: 15 July 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00442

zbMATH Keywords

functional equations Cauchy transforms \(S\)-transforms stochastic log-gases \(R\)-transforms complex Burgers-type equations free probability and free convolutions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Free probability and free operator algebras (46L54)

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