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math-ph2020
Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
Estelle Basor, Torsten Ehrhardt, Roozbeh Gharakhloo +2
We prove the analogue of the strong Szeg{\H o} limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang a…
math-ph2018
On the Open Question of The Tracy-Widom Distribution of β-Ensemble With β=6
Yuqi Li
We determine completely the Tracy-Widom distribution for Dyson's β-ensemble with β=6. The problem of the Tracy-Widom distribution of β-ensemble for general β>0 has been reduced to…