3 citations · 8 across the 6 of their papers we have counts for
9 papers · 1 filter
Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel
Thomas Bothner, Mattia Cafasso, Sofia Tarricone
We rigorously compute the integrable system for the limiting distribution function of the extreme momentum of noninteracting fermions when confined to an…
Edge distribution of thinned real eigenvalues in the real Ginibre ensemble
Jinho Baik, Thomas Bothner
This paper is concerned with the explicit computation of the limiting distribution function of the largest real eigenvalue in the real Ginibre ensemble when each real eigenvalue ha…
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…
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(…
A short note on the scaling function constant problem in the two-dimensional Ising model
Thomas Bothner
We provide a simple derivation of the constant factor in the short-distance asymptotics of the tau-function associated with the -point function of the two-dimensional Ising mode…