148 citations · 163 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study
Yuqi Li
An important special class of the tt* equations are the tt*-Toda equations. Guest et al. have given comprehensive studies on the tt*-Toda equations in a series of papers. The fine…
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…
Generalized Darboux transformation and localized waves in coupled Hirota equations
Xin Wang, Yuqi Li, Yong Chen
In this paper, we construct a generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and in…