7 citations · 28 across the 22 of their papers we have counts for
4 papers · 1 filter
On the discrepancy of random subsequences of II
Istvan Berkes, Bence Borda
Let be an irrational number, let be independent, identically distributed, integer-valued random variables, and put . Assuming that $X_1…
Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups
Bence Borda
We prove a sharp general inequality estimating the distance of two probability measures on a compact Lie group in the Wasserstein metric in terms of their Fourier transforms. We us…
Quantum invariants of hyperbolic knots and extreme values of trigonometric products
Christoph Aistleitner, Bence Borda
In this paper we study the relation between the function , which arises from a quantum invariant of the figure-eight knot, and Sudler's trigonometric product. We find $J…
Equidistribution of random walks on compact groups II. The Wasserstein metric
Bence Borda
We consider a random walk with i.i.d. steps on a compact group equipped with a bi-invariant metric. We prove quantitative ergodic theorems for the sum w…