A. Stylianou

collaborators

2 papers

math.DS2020

Statistics of multipliers for hyperbolic rational maps

Richard Sharp, Anastasios Stylianou

In this article, we consider a counting problem for orbits of hyperbolic rational maps on the Riemann sphere, where constraints are placed on the multipliers of orbits. Using argum…

math.NT2020

A typical number is extremely non-normal

Anastasios Stylianou

Fix a positive integer $N \geq 2$ . For a real number $x \in [0, 1]$ and a digit $i \in {0, 1, ..., N - 1}$ , let $Π_{i} (x, n)$ denote the frequency of the digit $i$ among the first $n$ $N$ -adi…