Towards non-Hermitian random levy matrices

E. W A Gudowska-Nowak, Andrzej Jarosz, Maciej A. Nowak, G. Papp

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

We review a new technique for calculating spectral properties of infinite non-Hermitian random matrix models, and we present an algorithm for calculating bulk spectral properties of ensembles of the type H1 + iH 2, where H1 and H2 are arbitrary free (in the sense of Voiculescu) ensembles, including cases of the Levy (heavy-tailed) spectra. As a particular example, we solve analytically the ensemble C 1 + iC2, where C1 and C2 are free centered random matrix ensembles of the Cauchy class.

Original languageEnglish
Title of host publicationActa Physica Polonica B
Pages4089-4104
Number of pages16
Volume38
Edition13 SPEC. ISS.
Publication statusPublished - 2007
EventConference on Random Matrix Theory From Fundamental Physics to Applications - Krakow, Poland
Duration: May 2 2007May 6 2007

Other

OtherConference on Random Matrix Theory From Fundamental Physics to Applications
CountryPoland
CityKrakow
Period5/2/075/6/07

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matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Gudowska-Nowak, E. W. A., Jarosz, A., Nowak, M. A., & Papp, G. (2007). Towards non-Hermitian random levy matrices. In Acta Physica Polonica B (13 SPEC. ISS. ed., Vol. 38, pp. 4089-4104)

Towards non-Hermitian random levy matrices. / Gudowska-Nowak, E. W A; Jarosz, Andrzej; Nowak, Maciej A.; Papp, G.

Acta Physica Polonica B. Vol. 38 13 SPEC. ISS. ed. 2007. p. 4089-4104.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gudowska-Nowak, EWA, Jarosz, A, Nowak, MA & Papp, G 2007, Towards non-Hermitian random levy matrices. in Acta Physica Polonica B. 13 SPEC. ISS. edn, vol. 38, pp. 4089-4104, Conference on Random Matrix Theory From Fundamental Physics to Applications, Krakow, Poland, 5/2/07.
Gudowska-Nowak EWA, Jarosz A, Nowak MA, Papp G. Towards non-Hermitian random levy matrices. In Acta Physica Polonica B. 13 SPEC. ISS. ed. Vol. 38. 2007. p. 4089-4104
Gudowska-Nowak, E. W A ; Jarosz, Andrzej ; Nowak, Maciej A. ; Papp, G. / Towards non-Hermitian random levy matrices. Acta Physica Polonica B. Vol. 38 13 SPEC. ISS. ed. 2007. pp. 4089-4104
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