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Hermitian Functional Representation of F...

G., José-Luis Pére...

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Hermitian Functional Representation of Free L\'evy Processes by G., José-Luis Pérez ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	29-08-2023
Summary	A functional representation of free L\'evy processes is established via an ensemble of unitarily invariant Hermitian matrix-valued L\'evy processes. This is accomplished by proving functional asymptotics of their empirical spectral processes towards the law of a free L\'evy processes. This result recovers a functional version of Wigner's theorem and introduces a functional version of Marchenko-Pastur's theorem providing the free Poisson process as the noncommutative limit process.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1511.03362

Citation

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AMA 11th EditionReferences

G., José-Luis Pérez. Hermitian Functional Representation of Free L\'evy Processes. Australian National University. August 29, 2023. Accessed August 10, 2025. https://online.provdatabase.com/cite/21159

APA 7th EditionReferences

G., José-Luis Pérez. (2023). Hermitian Functional Representation of Free L\'evy Processes. Australian National University. https://online.provdatabase.com/cite/21159

Chicago 17th EditionReferences

G., José-Luis Pérez. Hermitian Functional Representation of Free L\'evy Processes. Australian National University. 2023. https://online.provdatabase.com/cite/21159

HarvardReferences

G., José-Luis Pérez. (2023). Hermitian Functional Representation of Free L\'evy Processes. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/21159. (Accessed 10 August 2025).

Harvard AustraliaReferences

G., José-Luis Pérez, 2023, Hermitian Functional Representation of Free L\'evy Processes, Australian National University, viewed 10 August 2025, <https://online.provdatabase.com/cite/21159>

MLA 9th EditionWorks Cited

G., José-Luis Pérez. Hermitian Functional Representation of Free L\'evy Processes. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/21159.

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