Research

Publications and Preprints

D. Padilla-Garza, L. Peilen, E. Thoma. “Emergence of a Poisson process in weakly interacting particle systems.” arXiv: 2405.02625, May 2024. pdf

L. Peilen. “On the Maximum of the Potential of a General Two-Dimensional Coulomb Gas.” arXiv: 2403.00670, March 2024, submitted. pdf

L. Peilen. “Local Laws and a Mesoscopic CLT for β-Ensembles.” Communications on Pure and Applied Mathematics, vol. 77, no. 4, 2024, pp. 2452-2567. pdf

A. Cerbu, E. Gunther, M. Magee, L. Peilen. “The Cycle Structure of a Markoff Automorphism over Finite Fields.” Journal of Number Theory, vol. 211, 2020, pp. 1-27. pdf

A. Cerbu, S. Marcus, L. Peilen, D. Ranganathan, A. Salmon. “Topology of tropical moduli of weighted stable curves.” Advances in Geometry, vol. 20, no. 4, 2020, pp. 445-462. pdf

N. Kaplan, S. Kimport, R. Lawrence, L. Peilen, M. Weinreich. “Counting Arcs in Projective Planes via Glynn’s Algorithm.” Journal of Geometry, vol. 108, no. 3, 2017, pp. 1013-1029. pdf