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math-ph2022
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…
math-ph2022★ 2 cited
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…
math-ph2022
A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels
Thomas Bothner
We characterize Fredholm determinants of a class of Hankel composition operators via matrix-valued Riemann-Hilbert problems, for additive and multiplicative compositions. The scala…