A determinantal formula for the GOE Tracy-Widom distribution

Patrik L. Ferrari; Herbert Spohn

doi:10.1088/0305-4470/38/33/L02

A determinantal formula for the GOE Tracy-Widom distribution

Patrik L. Ferrari
, Herbert Spohn

TUM Emeriti of Excellence

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

Abstract

Investigating the long-time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the Tracy-Widom distribution for the Gaussian orthogonal ensemble. We establish that his novel formula indeed agrees with more standard expressions.

Original language	English
Pages (from-to)	L557-L561
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	33
DOIs	https://doi.org/10.1088/0305-4470/38/33/L02
State	Published - 19 Aug 2005

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title = "A determinantal formula for the GOE Tracy-Widom distribution",

abstract = "Investigating the long-time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the Tracy-Widom distribution for the Gaussian orthogonal ensemble. We establish that his novel formula indeed agrees with more standard expressions.",

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AU - Spohn, Herbert

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AB - Investigating the long-time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the Tracy-Widom distribution for the Gaussian orthogonal ensemble. We establish that his novel formula indeed agrees with more standard expressions.

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JO - Journal of Physics A: Mathematical and General

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A determinantal formula for the GOE Tracy-Widom distribution

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