A. Zdunik

activity

19932025

most citedHyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts

17 citations · 63 across the 15 of their papers we have counts for

collaborators

Showing 2025 · math.DSShow all

2 papers · 2 filters

math.DS2025★ 2 cited

On the dimension of the boundaries of attracting basins of entire maps

Krzysztof Barański, Bogusława Karpińska, David Martí-Pete +2

Let $f : C \to C$ be a transcendental entire map from the Eremenko-Lyubich class $B$ , and let $ζ$ be an attracting periodic point of period $p$ . We…

math.DS2025

Asymptotics of the Hausdorff measure for the Gauss map and its linearized analogue

Rafał Tryniecki, Mariusz Urbański, Anna Zdunik

Let $G (x) := {1/ x}$ be the Gauss map. By $g_{n} (x) = \frac{1}{x + n}$ we denote its continuous/real analytic inverse branches. We define iterated function system (IFS) $G_{n}$ by limiting…