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pro vyhledávání: '"Prochorov, Nikolai"'
Autor:
Prochorov, Nikolai
We investigate the family of marked Thurston maps that are defined everywhere on the topological sphere $S^2$, potentially excluding at most countable closed set of essential singularities. We show that when an unmarked Thurston map $f$ is realized b
Externí odkaz:
http://arxiv.org/abs/2410.06206
Autor:
Prochorov, Nikolai
We develop the theory of Thurston maps that are defined everywhere on the topological sphere $S^2$ with a possible exception of a single essential singularity. We establish an analog of the celebrated W. Thurston's characterization theorem for a broa
Externí odkaz:
http://arxiv.org/abs/2410.01146
We prove that every postsingularly finite entire map $g$ can be approximated by a sequence of postcritically finite complex polynomials $(g_n)$ such that their postsingular dynamics $g|P_g$ and $g_n|P_{g_n}$ are conjugate for every $n \in \mathbb{N}$
Externí odkaz:
http://arxiv.org/abs/2305.17793
An orientation-preserving branched covering map $f\colon S^2 \to S^2$ is called a critically fixed Thurston map if $f$ fixes each of its critical points. It was recently shown that there is an explicit one-to-one correspondence between M\"obius conju
Externí odkaz:
http://arxiv.org/abs/2212.14759
Publikováno v:
In Journal of Number Theory November 2016 168:101-116
Akademický článek
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