A. Campbell and J. Jalowy. Pólya-Schur problems and free probability. Submitted. Preprint available at arxiv.org/abs/2605.31356 

O. Arizmendi, A. Campbell, and K. Fujie. Critical points of random polynomials and finite free cumulants. Submitted. Preprint available at arxiv.org/abs/2506.08910 

A. Campbell. Free infinite divisibility, fractional convolution powers, and Appell polynomials. Documenta Mathematica. (2026), published online first. DOI 10.4171/DM/1071 

A. Campbell, S. O’Rourke, and D.Renfrew. Universality for roots of derivatives of entire functions via finite free probability. Submitted. Preprint available at arxiv.org/abs/2410.06403 

A. Campbell, G. Cipolloni, L. Erdős, and H.C. Ji. On the spectral edge of non-Hermitian random matrices. Annals of Probability (2025). DOI: 10.1214/25-AOP1761 

A. Campbell, S. O’Rourke, and D.Renfrew. The fractional free convolution of R-diagonal operators and random polynomials under repeated differentiation. International Mathematics Research Notices (2024). Available open access on Oxford Academic.

A. Campbell, K. Luh, and V. Margarint. Rate of Convergence in Multiple SLE using Random Matrix Theory.  Random Matrices: Theory and Applications, Vol 14 (2025). Available at doi.org/10.1142/S201032632450028X.

A. Campbell, K. Luh, and S. O’Rourke. Extreme eigenvalues of Laplacian random matrices with Gaussian entries. With an appendix by S. Arenas-Velilla and V. Pérez-Abreu. Accepted to the Electronic Journal of Probability. Preprint available at arxiv.org/abs/2211.17175.

A. Campbell, and S. O’Rourke. Spectrum of Lévy–Khintchine Random Laplacian Matrices. Journal of Theoretical Probability, (2023). Available open access from Springer. 

 A. Campbell, and S. O’Rourke. Spectrum of heavy-tailed elliptic random matrices, Electronic Journal of Probability, Vol 27, 1-56 (2022), available at DOI 10.1214/22-EJP849 .