3 papers
math-ph2025
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…
math-ph2025
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 hyp…
math-ph2025
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\…