A determinantal formula for the GOE Tracy-Widom distribution
classification
🧮 math-ph
cond-mat.stat-mechmath.MPmath.PR
keywords
formuladistributiontracy-widomagreesasymmetricasymptoticsdeterminantalestablish
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Investigating the long time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the GOE Tracy-Widom distribution. We establish that his novel formula indeed agrees with more standard expressions.
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