Thomas Bothner

activity

20122026

most citedLarge deformations of the Tracy-Widom distribution I. Non-oscillatory asymptotics

50 citations · 240 across the 26 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math-ph2014★ 31 cited

On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential I

Thomas Bothner, Percy Deift, Alexander Its +1

We study the determinant $det (I - γ K_{s}), 0 < γ < 1$ , of the integrable Fredholm operator $K_{s}$ acting on the interval $(- 1, 1)$ with kernel $K_{s} (λ, μ) = \frac{s i n s ( λ - μ )}{π ( λ - μ )}$ . This…

math-ph2014★ 33 cited

Universality conjecture and results for a model of several coupled positive-definite matrices

Marco Bertola, Thomas Bothner

The paper contains two main parts: in the first part, we analyze the general case of $p \geq 2$ matrices coupled in a chain subject to Cauchy interaction. Similarly to the Itzykson-…

nlin.SI2014

Zeros of large degree Vorob'ev-Yablonski polynomials via a Hankel determinant identity

Marco Bertola, Thomas Bothner

In the present paper we derive a new Hankel determinant representation for the square of the Vorob'ev-Yablonski polynomial $Q_{n} (x), x \in C$ . These polynomials are…