3 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system
Jinho Baik, Thomas Bothner
The real Ginibre ensemble consists of real matrices whose entries are i.i.d. standard normal random variables. In sharp contrast to the complex and quaternion…
Short distance asymptotics for a generalized two-point scaling function in the two-dimensional Ising model
Thomas Bothner, William Warner
In the 1977 paper \cite{MTW} of B. McCoy, C. Tracy and T. Wu it was shown that the limiting two-point correlation function in the two-dimensional Ising model is related to a second…
Rational Solutions of the Painlevé-III Equation: Large Parameter Asymptotics
Thomas Bothner, Peter D. Miller
The Painlevé-III equation with parameters and has a unique rational solution with whenever . Using a Ri…
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(…
Rational Solutions of the Painlevé-III Equation
Thomas Bothner, Peter D. Miller, Yue Sheng
All of the six Painlevé equations except the first have families of rational solutions, which are frequently important in applications. The third Painlevé equation in generic form…