278 citations · 1.7k across the 68 of their papers we have counts for
Showing 2018 · math-phShow all
2 papers · 2 filters
math-ph2018★ 21 cited
A representation of joint moments of CUE characteristic polynomials in terms of Painleve functions
Estelle Basor, Pavel Bleher, Robert Buckingham +4
We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the sigma-Painleve V equatio…
math-ph2018★ 9 cited
The sine process under the influence of a varying potential
Thomas Bothner, Percy Deift, Alexander Its +1
We review the authors' recent work \cite{BDIK1,BDIK2,BDIK3} where we obtain the uniform large asymptotics for the Fredholm determinant $D(s,γ):=\det(I-γK_s\upharpoonright_{L^2(…