8 citations · 10 across the 7 of their papers we have counts for
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Dynamics of generic endomorphisms of Oka-Stein manifolds
Leandro Arosio, Finnur Larusson
We study the dynamics of a generic endomorphism of an Oka-Stein manifold . Such manifolds include all connected linear algebraic groups and, more generally, all Stein homoge…
Generic aspects of holomorphic dynamics on highly flexible complex manifolds
Leandro Arosio, Finnur Larusson
We prove closing lemmas for automorphisms of a Stein manifold with the density property and for endomorphisms of an Oka-Stein manifold. In the former case we need to impose a new t…
A transcendental Hénon map with an oscillating wandering Short
Leandro Arosio, Luka Boc Thaler, Han Peters
Short 's were constructed in [F] as attracting basins of a sequence of holomorphic automorphisms whose rate of attraction increases superexponentially. The goal of th…
Backward orbits in the unit ball
Leandro Arosio, Lorenzo Guerini
We show that, if is a holomorphic self-map of the unit ball in and is a boundary repelling fixed…
Chaotic holomorphic automorphisms of Stein manifolds with the volume density property
Leandro Arosio, Finnur Larusson
Let be a Stein manifold of dimension satisfying the volume density property with respect to an exact holomorphic volume form. For example, could be …
Squeezing functions and Cantor Sets
Leandro Arosio, John Erik Fornæss, Nikolay Shcherbina +1
We construct "large" Cantor sets whose complements resemble the unit disk arbitrarily well from the point of view of the squeezing function, and we construct "large" Cantor sets wh…