Thomas Bothner

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20122021

most citedAsymptotics of a Fredholm determinant involving the second Painlevé transcendent

3 citations · 8 across the 6 of their papers we have counts for

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math-ph2012★ 3 cited

Asymptotics of a Fredholm determinant involving the second Painlevé transcendent

Thomas Bothner, Alexander Its

We study the determinant $det (I - K_{PII})$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(- s, s)$ whose kernel is constructed out of…

math-ph2012

Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between disordered and antiferroelectric phases

Pavel Bleher, Thomas Bothner

In the present article we obtain the large $N$ asymptotics of the partition function $Z_{N}$ of the six-vertex model with domain wall boundary conditions on the critical line between…