Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Luna Lomonaco"'
Autor:
Luna Lomonaco, Sabyasachi Mukherjee
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
The goal of this article is to prove a rigidity result for unicritical polynomials with parabolic cycles. More precisely, we show that if two unicritical polynomials have conformally conjugate parabolic germs, then the polynomials are affinely conjug
Publikováno v:
New Trends in One-Dimensional Dynamics ISBN: 9783030168322
This paper surveys some recent results concerning the dynamics of two families of holomorphic correspondences, namely \({\mathcal F}_a:z \rightarrow w\) defined by the relation $$\left( \frac{aw-1}{w-1} \right) ^2 + \left( \frac{aw-1}{w-1} \right) \l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38dd03c4569895e844357875c84647c0
https://doi.org/10.1007/978-3-030-16833-9_5
https://doi.org/10.1007/978-3-030-16833-9_5
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We prove that any \begin{document}$C^{1+\text{BV}}$\end{document} degree d ≥ 2 circle covering \begin{document}$h$\end{document} having all periodic orbits weakly expanding, is conjugate by a \begin{document}$C^{1+\text{BV}}$\end{document} diffeomo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9bdc01a188edf3e2aafe80ed4dba12e
Autor:
Shaun Bullett, Luna Lomonaco
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In 1994 S. Bullett and C. Penrose introduced the one complex parameter family of (2 : 2) holomorphic correspondences $$\mathcal {F}_a$$Fa: $$\begin{aligned} \left( \frac{aw-1}{w-1}\right) ^2+\left( \frac{aw-1}{w-1}\right) \left( \frac{az+1}{z+1}\righ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::622e00998b1def5b874500ab1393df66
Autor:
Carsten Lunde Petersen, Luna Lomonaco
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Douady and Hubbard (Ann Sci Ec Norm Suppl 4 18(2):287–343, 1985) introduced the notion of polynomial-like maps. They used it to identify homeomorphic copies $${\mathbf{M}'}$$ of the Mandelbrot set inside the Mandelbrot set $$\mathbf{M}$$ . These co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::197528701725fa1e4d7f4b579824d761
http://arxiv.org/abs/1505.05422
http://arxiv.org/abs/1505.05422
Autor:
Luna Lomonaco
Publikováno v:
Luciana Luna Anna Lomonaco
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
In this paper we introduce the notion of parabolic-like mapping. Such an object is similar to a polynomial-like mapping, but it has a parabolic external class, i.e. an external map with a parabolic fixed point. We define the notion of parabolic-like
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78eacf7c17ba053223e05ec11855c5e0
https://doi.org/10.1017/etds.2014.27
https://doi.org/10.1017/etds.2014.27