Lorenzo Guerini

activity

20172021

most citedJulia sets of complex Hénon maps

3 citations · 5 across the 2 of their papers we have counts for

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math.CV2018

Backward orbits in the unit ball

Leandro Arosio, Lorenzo Guerini

We show that, if $f : B^{q} \to B^{q}$ is a holomorphic self-map of the unit ball in $C^{q}$ and $ζ \in \partial B^{q}$ is a boundary repelling fixed…

math.CV2018

Random local complex dynamics

Lorenzo Guerini, Han Peters

The study of the dynamics of an holomorphic map near a fixed point is a central topic in complex dynamical systems. In this paper we will consider the corresponding random setting:…

math.CV2017★ 3 cited

Julia sets of complex Hénon maps

Lorenzo Guerini, Han Peters

There are two natural definitions of the Julia set for complex Hénon maps: the sets $J$ and $J^{⋆}$ . Whether these two sets are always equal is one of the main open questions in…