3 papers
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…
nlin.SI2013
Some Numerical Results For Ito Equation
YuQi Li, Biao Li
By the method of invariant manifold, we investigate the Ito equation numerically with high precision. By the numerical results, we can completely determine the form of analytic sol…