Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Leandro Arosio"'
We show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22c2c6dbe877e3894009fc4b307e52f2
http://arxiv.org/abs/2208.02062
http://arxiv.org/abs/2208.02062
Publikováno v:
The Journal of Geometric Analysis. 31:4661-4702
We prove that if a holomorphic self-map $$f:\Omega \rightarrow \Omega $$ of a bounded strongly convex domain $$\Omega \subset \mathbb C^q$$ with smooth boundary is hyperbolic then it admits a natural semi-conjugacy with a hyperbolic automorphism of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a30c57090ef30bb31300482a5c15631
https://doi.org/10.1007/s12220-020-00448-5
https://doi.org/10.1007/s12220-020-00448-5
Autor:
Leandro Arosio, Finnur Larusson
We study the dynamics of a generic endomorphism f of an Oka–Stein manifold X. Such manifolds include all connected linear algebraic groups and, more generally, all Stein homogeneous spaces of complex Lie groups. We give several descriptions of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa5ebcf8cbfab11fcb332100ec20aa2b
http://hdl.handle.net/2108/286053
http://hdl.handle.net/2108/286053
Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Hénon maps always have non-trivial dynamical behav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ae61cab5b1f382ef59e05d0412311cb
https://hdl.handle.net/2108/312415
https://hdl.handle.net/2108/312415
Autor:
Lorenzo Guerini, Leandro Arosio
Publikováno v:
Proceedings of the American Mathematical Society. 147:3947-3954
We show that, if $f\colon \mathbb{B}^q\to \mathbb{B}^q$ is a holomorphic self-map of the unit ball in $\mathbb{C}^q$ and $\zeta\in \partial \mathbb{B}^q$ is a boundary repelling fixed point with dilation $\lambda>1$, then there exists a backward orbi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06d13e3c62cdbd46442dd947e70d1c40
https://doi.org/10.1090/proc/14544
https://doi.org/10.1090/proc/14544
Short $${\mathbb {C}}^2$$ ’s were constructed in [5] as attracting basins of a sequence of holomorphic automorphisms whose rate of attraction increases superexponentially. The goal of this paper is to show that such domains also arise naturally as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdf93209b69225dc86dd4e3ff325db41
http://hdl.handle.net/2108/286051
http://hdl.handle.net/2108/286051
We highlight a condition, the approaching geodesics property, on a proper geodesic Gromov hyperbolic metric space, which implies that the horofunction compactification is topologically equivalent to the Gromov compactification. It is known that this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4852174f24965af71aa84e19aedc6ec
http://arxiv.org/abs/2012.09848
http://arxiv.org/abs/2012.09848
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 whose complements do not resemble the unit disk from the point of view o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96b5dbc38948bbca5c9e37f5a426d379
http://hdl.handle.net/2108/286057
http://hdl.handle.net/2108/286057
Publikováno v:
Mathematische Annalen
The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description of Fatou components. Besides the types of periodic Fatou components that can occur for pol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c2e586167d1f997ed678d6eb046e6f7
https://doi.org/10.1007/s00208-018-1643-6
https://doi.org/10.1007/s00208-018-1643-6
Autor:
Finnur Larusson, Leandro Arosio
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 tameness condition. It follows that hyperbolic periodic points are dens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::635e999890ca3c8711cbfa003e65f8b4