3 papers
math-ph2026
On Toeplitz determinants with slow Fourier decay
Nedialko Bradinoff, Maurice Duits
We study Toeplitz determinants for whose Fourier coefficients satisfy . This regime extends beyond and includes symbols with Fisher-H…
math.PR2026
Marked GUE-corners process in doubly periodic dimer models
Tomas Berggren, Nedialko Bradinoff
We study a family of periodically weighted Aztec diamond dimer models near their turning points. We establish that, asymptotically, as , their fluctuations ther…
math.PR2023
Benford's law and the CE
Nedialko Bradinoff, Maurice Duits
We study the individual digits for the absolute value of the characteristic polynomial for the Circular -Ensemble. We show that, in the large limit, the first digits obey Be…