286 citations · 587 across the 20 of their papers we have counts for
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Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros
Folkmar Bornemann, Peter J. Forrester, Anthony Mays
According to Dyson's three fold way, from the viewpoint of global time reversal symmetry there are three circular ensembles of unitary random matrices relevant to the study of chao…
On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm-Liouville Operators
Folkmar Bornemann
By applying an idea of Borodin and Olshanski [J. Algebra 313 (2007), 40-60], we study various scaling limits of determinantal point processes with trace class projection kernels gi…
The Airy_1 process is not the limit of the largest eigenvalue in GOE matrix diffusion
Folkmar Bornemann, Patrik L. Ferrari, Michael Prähofer
Using a systematic approach to evaluate Fredholm determinants numerically, we provide convincing evidence that the Airy_1-process, arising as a limit law in stochastic surface grow…