Hydrodynamic limit of multiple SLE

DOI10.1007/s10955-018-1996-yzbMath1392.82037arXiv1712.02049OpenAlexW2771685831WikidataQ130186831 ScholiaQ130186831MaRDI QIDQ1753952

Ikkei Hotta, Makoto Katori

Publication date: 29 May 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02049

zbMATH Keywords

hydrodynamic limitWigner's semicircle lawDyson modelcomplex Burgers equationmultiple Schramm-Loewner evolution (SLE)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Random matrices (algebraic aspects) (15B52) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (6)

Functional equations solving initial-value problems of complex Burgers-type equations for one-dimensional log-gases ⋮ Perturbations of multiple Schramm-Loewner evolution with two non-colliding Dyson Brownian motions ⋮ Loewner chains and evolution families on parallel slit half-planes ⋮ Conformal welding problem, flow line problem, and multiple Schramm–Loewner evolution ⋮ Limits of radial multiple SLE and a Burgers-Loewner differential equation ⋮ Three phases of multiple SLE driven by non-colliding Dyson’s Brownian motions

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