Characterizations of the hydrodynamic limit of the Dyson model

zbMath1369.82023arXiv1602.00449MaRDI QIDQ5267640

Makoto Katori, Sergio Andraus

Publication date: 13 June 2017

Full work available at URL: https://arxiv.org/abs/1602.00449

zbMATH Keywords

Green's functionHilbert transformmethod of characteristicshydrodynamic limitDyson modelinteracting Brownian motions

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) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random matrices (algebraic aspects) (15B52) PDEs with randomness, stochastic partial differential equations (35R60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Euler equations (35Q31)

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