3 citations · 8 across the 12 of their papers we have counts for
7 papers · 1 filter
Eigenvalues of random matrices from compact classical groups in Wasserstein metric
Bence Borda
The circular unitary ensemble and its generalizations concern a random matrix from a compact classical group , , , or…
Limit laws for cotangent and Diophantine sums
Bence Borda, Lorenz Frühwirth, Manuel Hauke
Limit laws for ergodic averages with a power singularity over circle rotations were first proved by Sinai and Ulcigrai, as well as Dolgopyat and Fayad. In this paper, we prove limi…
Riesz Energy, Discrepancy, and Optimal Transport of Determinantal Point Processes on the Sphere and the Flat Torus
Bence Borda, Peter Grabner, Ryan W. Matzke
Determinantal point processes exhibit an inherent repulsive behavior, thus providing examples of very evenly distributed point sets on manifolds. In this paper, we study the so-cal…
Remarks on sums of reciprocals of fractional parts
Bence Borda
The Diophantine sums and appear in many different areas including the ergodic theory of circle rotations, lattice p…
Pointwise and correlation bounds on Dedekind sums over small subgroups
Bence Borda, Marc Munsch, Igor Shparlinski
We obtain new bounds, pointwisely and on average, for Dedekind sums modulo a prime with of small multiplicative order modulo . Assuming the infinit…
Limit laws of maximal Birkhoff sums for circle rotations via quantum modular forms
Bence Borda
In this paper, we show how quantum modular forms naturally arise in the ergodic theory of circle rotations. Working with the classical Birkhoff sum $S_N(α)=\sum_{n=1}^N (\{ n α\}-1…