Julia sets of expanding polymodials
Uloženo v:
| Název: | Julia sets of expanding polymodials |
|---|---|
| Autoři: | Alexander Blokh, Chris Cleveland, Michał Misiurewicz |
| Zdroj: | Ergodic Theory and Dynamical Systems. 25:1691-1718 |
| Informace o vydavateli: | Cambridge University Press (CUP), 2005. |
| Rok vydání: | 2005 |
| Témata: | Dynamical systems involving maps of the interval, Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Julia set, Hausdorff dimension, Small divisors, rotation domains and linearization in holomorphic dynamics, 0101 mathematics, covering maps of the plane, 01 natural sciences, expanding interval maps, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets |
| Popis: | Summary: We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension. |
| Druh dokumentu: | Article |
| Popis souboru: | application/xml |
| Jazyk: | English |
| ISSN: | 1469-4417 0143-3857 |
| DOI: | 10.1017/s0143385705000210 |
| Přístupová URL adresa: | https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/julia-sets-of-expanding-polymodials/C694A2CEA69335358A04DB8A30667640 https://documat.unirioja.es/servlet/articulo?codigo=1345038 https://dialnet.unirioja.es/servlet/articulo?codigo=1345038 |
| Rights: | Cambridge Core User Agreement |
| Přístupové číslo: | edsair.doi.dedup.....ea33a9e3da5140d89f3efa3fd06cc55c |
| Databáze: | OpenAIRE |
Full Text Finder 
Nájsť tento článok vo Web of Science Buďte první, kdo okomentuje tento záznam!