Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases

We study the hydrodynamic limits of three kinds of one-dimensional stochastic log-gases known as Dyson's Brownian motion model, its chiral version, and the Bru-Wishart process studied in dynamical random matrix theory. We define the measure-valued processes so that their Cauchy transforms solve...

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Veröffentlicht in:	Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2022-01
Hauptverfasser:	Endo, Taiki, Katori, Makoto, Sakuma, Noriyoshi
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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