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

collaborators

Showing 2014 · math-phShow all

2 papers · 2 filters

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-…