Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Shishikura, Mitsuhiro"'
Publikováno v:
Proc. Lond. Math. Soc. (3) 120 (2020), no. 2, 155-191
Recently Bishop constructed the first example of a bounded-type transcendental entire function with a wandering domain using a new technique called quasiconfomal folding. It is easy to check that his method produces an entire function of infinite ord
Externí odkaz:
http://arxiv.org/abs/1807.11820
Autor:
Shishikura, Mitsuhiro
We present a new and simple proof of Teichm\"uller-Wittich-Belinskii's and Gutlyanskii-Martio's theorems on the conformality of quasiconformal mappings at a given point. Known proofs gave separate estimates for the radial and angular variations, but
Externí odkaz:
http://arxiv.org/abs/1802.09137
Autor:
Shishikura, Mitsuhiro, Yang, Fei
Let $\alpha$ be an irrational number of sufficiently high type and suppose $P_\alpha(z)=e^{2\pi i\alpha}z+z^2$ has a Siegel disk $\Delta_\alpha$ centered at the origin. We prove that the boundary of $\Delta_\alpha$ is a Jordan curve, and that it cont
Externí odkaz:
http://arxiv.org/abs/1608.04106
We prove the uniform hyperbolicity of the near-parabolic renormalization operators acting on an infinite-dimensional space of holomorphic transformations. This implies the universality of the scaling laws, conjectured by physicists in the 70's, for a
Externí odkaz:
http://arxiv.org/abs/1509.07843
Autor:
Shishikura, Mitsuhiro
Publikováno v:
Annals of Mathematics, 1998 Mar 01. 147(2), 225-267.
Externí odkaz:
https://www.jstor.org/stable/121009
Autor:
Shishikura, Mitsuhiro
It is shown that the boundary of the Mandelbrot set $M$ has Hausdorff dimension two and that for a generic $c \in \bM$, the Julia set of $z \mapsto z^2+c$ also has Hausdorff dimension two. The proof is based on the study of the bifurcation of parabol
Externí odkaz:
http://arxiv.org/abs/math/9201282
Publikováno v:
Journal of the American Mathematical Society, 2009 Jan 01. 22(1), 77-117.
Externí odkaz:
https://www.jstor.org/stable/40587226
Akademický článek
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Autor:
KISAKA, Masashi, SHISHIKURA, Mitsuhiro
Publikováno v:
数理解析研究所講究録. 1762:30-38
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::90a2e4015bbfbcc6fba6616b8f14fb1d
http://hdl.handle.net/2433/171377
http://hdl.handle.net/2433/171377
Autor:
KISAKA, Masashi, SHISHIKURA, Mitsuhiro
Publikováno v:
数理解析研究所講究録. 1742:137-144
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::bdd73fa5f6cad4af64c0bd8baa30f28e
http://hdl.handle.net/2433/170920
http://hdl.handle.net/2433/170920