50 citations · 240 across the 26 of their papers we have counts for
30 papers
Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlevé equations
Thomas Bothner, Fei Wei
In this paper, we establish a connection between joint moments of characteristic polynomials and their derivatives in the Circular Jacobi Ensemble, a generalisation of the Circular…
On Fredholm Pfaffians and Riemann-Hilbert problems
Thomas Bothner, Amari Jaconelli
It is shown how classes of Fredholm Pfaffians can be computed in terms of canonical, auxiliary Riemann-Hilbert problems as soon as the main kernel in the Pfaffian is either of addi…
Asymptotic analysis of a Family of Painlevé Functions with Applications to CUE Derivative Moments
Thomas Bothner, Fei Wei
The Riemann-Hilbert method is employed to carry out an asymptotic analysis of a family of -Painlevé V functions associated with Hankel determinants involving the confluent hyper…
Universality for random matrices with an edge spectrum singularity
Thomas Bothner, Toby Shepherd
We study invariant random matrix ensembles \begin{equation*} \mathbb{P}_n(d M)=Z_n^{-1}\exp(-n\,tr(V(M)))\,d M \end{equation*} defined on complex Hermitian matrices of size $n\…
The complex elliptic Ginibre ensemble at weak non-Hermiticity: bulk spacing distributions
Thomas Bothner, Alex Little
We show that the distribution of bulk spacings between pairs of adjacent eigenvalue real parts of a random matrix drawn from the complex elliptic Ginibre ensemble is asymptotically…
The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions
Thomas Bothner, Alex Little
The focus of this paper is on the distribution function of the rightmost eigenvalue for the complex elliptic Ginibre ensemble in the limit of weak non-Hermiticity. We show how the…