The mother body phase transition in the normal matrix model /

The normal matrix model with algebraic potential has gained a lot of attention recently, partially in virtue of its connection to several other topics as quadrature domains, inverse potential problems and the Laplacian growth. In this present paper the authors consider the normal matrix model with c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bleher, Pavel, 1947- (Autor), Silva, Guilherme L. F. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, [2020]
Colección:Memoirs of the American Mathematical Society ; no. 1289.
Temas:
Matrices > Norms > Models.
Procesos estocásticos
Funciones de variables complejas
Teoría de probabilidades
Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX} > Probability theory on algebraic and topological structures > Random m.
Functions of a complex variable {For analysis on manifolds, see 58-XX} > Geometric function theory > None of the above, but in this section.
Functions of a complex variable {For analysis on manifolds, see 58-XX} > Miscellaneous topics of analysis in the complex domain.
Functions of a complex variable {For analysis on manifolds, see 58-XX} > Riemann surfaces > Differentials on Riemann surfaces.
Potential theory {For probabilistic potential theory, see 60J45} > Two-dimensional theory > Potentials and capacity, harmonic measure, extremal length [See also 30C85].
Integral transforms, operational calculus {For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For.
Acceso en línea:Texto completo
Descripción
Sumario:The normal matrix model with algebraic potential has gained a lot of attention recently, partially in virtue of its connection to several other topics as quadrature domains, inverse potential problems and the Laplacian growth. In this present paper the authors consider the normal matrix model with cubic plus linear potential. In order to regularize the model, they follow Elbau & Felder and introduce a cut-off. In the large size limit, the eigenvalues of the model accumulate uniformly within a certain domain \Omega that they determine explicitly by finding the rational parametrization of its bo.
Notas:"May 2020, volume 265, number 1289 (sixth of 7 numbers)."
Descripción Física:1 online resource (v, 144 pages)
Bibliografía:Includes bibliographical references.
ISBN:9781470461461
1470461463

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