Planar Equilibrium Measure Problem in the Quadratic Fields with a Point Charge

We consider a two-dimensional equilibrium measure problem under the presence of quadratic potentials with a point charge and derive the explicit shape of the associated droplets. This particularly shows that the topology of the droplets reveals a phase transition: (i) in the post-critical case, the...

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Vydané v:	Computational methods and function theory Ročník 24; číslo 2; s. 303 - 332
Hlavný autor:	Byun, Sung-Soo
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024
Predmet:	Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics A non-Hermitian extension of the Marchenko–Pastur law Primary 30C20 Elliptic Ginibre ensemble 31A25 Planar equilibrium measure problem Conformal mapping method Secondary 60B20 Two-dimensional Coulomb gases Conditional point process
ISSN:	1617-9447, 2195-3724
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