3 papers
math.NT2023
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…
math.NT2023
On the metric upper density of Birkhoff sums for irrational rotations
Lorenz Frühwirth, Manuel Hauke
This article examines the value distribution of for almost every where is ranging over a long interval and is a -p…
math.PR2022
Hölder's inequality and its reverse-a probabilistic point of view
Lorenz Frühwirth, Joscha Prochno
In this article we take a probabilistic look at Hölder's inequality, considering the ratio of terms in the classical Hölder inequality for random vectors in . We prov…