Lorenz Frühwirth

most citedThe Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2024

Sharp concentration phenomena in high-dimensional Orlicz balls

Lorenz Frühwirth, Joscha Prochno

In this article, we present a precise deviation formula for the intersection of two Orlicz balls generated by Orlicz functions $V$ and $W$ . Additionally, we establish a (quantitati…

math.NT2024★ 2 cited

The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

Lorenz Frühwirth, Manuel Hauke

Given a monotonically decreasing $ψ : N \to [0, \infty)$ , Khintchine's Theorem provides an efficient tool to decide whether, for almost every $α \in R$ , there are in…

math.NT2023

Diophantine conditions in the law of the iterated logarithm for lacunary systems

Christoph Aistleitner, Lorenz Frühwirth, Joscha Prochno

It is a classical observation that lacunary function systems exhibit many properties which are typical for systems of independent random variables. However, it had already been obs…

math.DS2023

On Birkhoff sums that satisfy no temporal distributional limit theorem for almost every irrational

Lorenz Frühwirth, Manuel Hauke

Dolgpoyat and Sarig showed that for any piecewise smooth function $f : T \to R$ and almost every pair $(α, x_{0}) \in T \times T$ , $S_N(f,α,x_0) :=…