Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Peter Makienko"'
Autor:
Carlos Cabrera, Peter Makienko
Publikováno v:
Groups, Geometry, and Dynamics. 15:1139-1174
In this article we discuss relations between algebraic and dynamical properties of non-cyclic semigroups of rational maps.
32 pages. To appear in Groups, Geometry and Dynamics
32 pages. To appear in Groups, Geometry and Dynamics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::620e1b03f954037fbedb74ada0e4e779
https://doi.org/10.4171/ggd/627
https://doi.org/10.4171/ggd/627
Publikováno v:
Arnold Mathematical Journal. 6:523-549
We investigate the connection between the instability of rational maps and summability methods applied to the spectrum of a critical point belonging to the Julia set of a rational map.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85604c6252d4dccd2b902d8f2b1b0fff
https://doi.org/10.1007/s40598-020-00158-4
https://doi.org/10.1007/s40598-020-00158-4
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 23:283-306
In this article we show that for every collection $\mathcal{C}$ of an even number of polynomials, all of the same degree $d>2$ and in general position, there exist two hyperbolic $3$-orbifolds $M_1$ and $M_2$ with a M\"obius morphism $\alpha:M_1\righ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c29266cb2dff6bd2058aff5a2d97e0a1
https://doi.org/10.1090/ecgd/345
https://doi.org/10.1090/ecgd/345
Autor:
Peter Makienko, Carlos Cabrera
Publikováno v:
The Journal of Geometric Analysis. 28:2346-2360
Given a rational map R, we consider the complement of the postcritical set $$S_R$$ . In this paper we discuss the existence of invariant Beltrami differentials supported on an R invariant subset X of $$S_R$$ . Under some geometrical restrictions on X
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5f339fdce8aa9694595b8d2ddeaa87f
https://doi.org/10.1007/s12220-017-9906-0
https://doi.org/10.1007/s12220-017-9906-0
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 19:197-220
There is a classical extension of Möbius automorphisms of the Riemann sphere into isometries of the hyperbolic space H 3 \mathbb {H}^3 which is called the Poincaré extension. In this paper, we construct extensions of rational maps on the Riemann sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a732912ab0241c311dfdc4b07a2e6427
https://doi.org/10.1090/ecgd/281
https://doi.org/10.1090/ecgd/281
Autor:
Peter Makienko, Carlos Cabrera
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 15:210-218
If $R$ is a rational map, the Main Result is a uniformization Theorem for the space of decompositions of the iterates of $R$. Secondly, we show that Fatou conjecture holds for decomposable rational maps.
Comment: 13 pages, 0 figures
Comment: 13 pages, 0 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee24aa0f51a299f8b6015727b3b6875e
https://doi.org/10.1090/s1088-4173-2011-00233-5
https://doi.org/10.1090/s1088-4173-2011-00233-5
Autor:
Peter Makienko
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 10:197-202
Let R be a rational map with a totally disconnected Julia set J(R). If the postcritical set on J(R) contains a non-persistently recurrent (or conical) point, then we show that the map R cannot be a structurally stable map. Introduction and statements
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b8962b6b620ba1c474b3a1f899ea9fd
https://doi.org/10.1090/s1088-4173-06-00142-1
https://doi.org/10.1090/s1088-4173-06-00142-1
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 12:773-789
If $f$ is a transcendental entire function with only algebraic singularities we calculate the Ruelle operator of $f$. Moreover, we prove both (i) if $f$ has a summable critical point, then $f$ is not structurally stable under certain topological cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::653540eafb75d03f786ccfaaa3b1525f
https://doi.org/10.3934/dcds.2005.12.773
https://doi.org/10.3934/dcds.2005.12.773
Autor:
Peter Makienko, Carlos Cabrera
We discuss the relation between the existence of fixed points of the Ruelle operator acting on different Banach spaces, with Sullivan's conjecture in holomorphic dynamics.
Comment: 35 pages
Comment: 35 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96e5c197ff5c255c9fe888661d7e6735
Autor:
Peter Makienko
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 4:1-21
Using pinching deformations of Riemann surfaces, we give several sufficient criteria for the space of quasiconformal deformations of rational map R R of degree d d to have non-compact closure in the space R a t d Rat_{d} of rational maps of degree d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f202ad2d7bdf9feea5ac2a0828fd2eed
https://doi.org/10.1090/s1088-4173-00-00044-8
https://doi.org/10.1090/s1088-4173-00-00044-8