7 citations · 28 across the 22 of their papers we have counts for
5 papers · 1 filter
Optimal and typical discrepancy of 2-dimensional lattices
Bence Borda
We undertake a detailed study of the discrepancy of rational and irrational 2-dimensional lattices either with or without symmetrization. We give a full characterization of l…
A conjecture of Zagier and the value distribution of quantum modular forms
Christoph Aistleitner, Bence Borda
In his influential paper on quantum modular forms, Zagier developed a conjectural framework describing the behavior of certain quantum knot invariants under the action of the modul…
Empirical measures and random walks on compact spaces in the quadratic Wasserstein metric
Bence Borda
Estimating the rate of convergence of the empirical measure of an i.i.d. sample to the reference measure is a classical problem in probability theory. Extending recent results of A…
Maximizing Sudler products via Ostrowski expansions and cotangent sums
Christoph Aistleitner, Bence Borda
There is an extensive literature on the asymptotic order of Sudler's trigonometric product for fixed or for "typical" values of . In th…
On the distribution of Sudler products and Birkhoff sums for the irrational rotation
Bence Borda
We study the value distribution of the Sudler product and the Diophantine product for various irrational , as ra…