Random matrices, nonbacktracking walks, and orthogonal polynomials

Sasha Sodin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Several well-known results from the random matrix theory, such as Wigner's law and the Marchenko-Pastur law, can be interpreted (and proved) in terms of nonbacktracking walks on a certain graph. Orthogonal polynomials with respect to the limiting spectral measure play a role in this approach.

Original languageEnglish
Article number123503
JournalJournal of Mathematical Physics
Volume48
Issue number12
DOIs
StatePublished - 2007

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