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math-ph2018
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…
math-ph2018
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…
math-ph2018
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(…