Exact and explicit evaluation of Brézin-Hikami kernels

DOI10.1016/j.nuclphysb.2013.04.005zbMath1282.82025arXiv1211.4478OpenAlexW2043683949WikidataQ116677418 ScholiaQ116677418MaRDI QIDQ2438166

Karol A. Penson, Katarzyna Górska

Publication date: 10 March 2014

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4478

zbMATH Keywords

density of statesHermitian random matricessigned Lévy stable functions

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Random matrices (algebraic aspects) (15B52) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (1)

Theory of relativistic heat polynomials and one-sided Lévy distributions

Uses Software

• DLMF

Cites Work

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• The special functions and their approximations. Vol. I, II
• Lévy stable distributions via associated integral transform
• All the special functions are fractional differintegrals of elementary functions
• ON THE UBIQUITY OF THE LÉVY INTEGRAL — ITS RELATIONSHIP WITH THE GENERALIZED EULER-JACOBI SERIES AND THEIR ASYMPTOTICS BEYOND ALL ORDERS
• Lévy flights: Exact results and asymptotics beyond all orders

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