Radosław Opoka

collaborators

2 papers

math.DS2026

Dimension of the accumulation set of any hair for the exponential map

Joanna Horbaczewska, Radosław Opoka, Łukasz Pawelec

We study the dynamics of the exponential map on the complex plane. The set $Λ_{c}$ of all points sharing a given itinerary $c$ is non-empty if and only if $\mathb…

math.DS2024

Indecomposable continua for unbounded itineraries of exponential maps

Radosław Opoka

We study the dynamics of the exponential maps $E_{λ} : C ⟶ C$ defined by $E_{λ} (z) = λ e^{z}$ , where $λ > \frac{1}{e}$ . We prove that for itineraries of a ce…