Filled Julia sets with empty interior are computable

I. Binder; M. Braverman; M. Yampolsky

doi:10.1007/s10208-005-0210-1

Filled Julia sets with empty interior are computable

I. Binder
, M. Braverman
, M. Yampolsky

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We show that if a polynomial filled Julia set has empty interior, then it is computable.

Original language	English (US)
Pages (from-to)	405-416
Number of pages	12
Journal	Foundations of Computational Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s10208-005-0210-1
State	Published - Nov 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

Keywords

Computability
Julia set

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10.1007/s10208-005-0210-1

Cite this

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title = "Filled Julia sets with empty interior are computable",

abstract = "We show that if a polynomial filled Julia set has empty interior, then it is computable.",

keywords = "Computability, Julia set",

author = "I. Binder and M. Braverman and M. Yampolsky",

year = "2007",

month = nov,

doi = "10.1007/s10208-005-0210-1",

language = "English (US)",

volume = "7",

pages = "405--416",

journal = "Foundations of Computational Mathematics",

issn = "1615-3375",

publisher = "Springer New York",

number = "4",

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T1 - Filled Julia sets with empty interior are computable

AU - Binder, I.

AU - Braverman, M.

AU - Yampolsky, M.

PY - 2007/11

Y1 - 2007/11

N2 - We show that if a polynomial filled Julia set has empty interior, then it is computable.

AB - We show that if a polynomial filled Julia set has empty interior, then it is computable.

KW - Computability

KW - Julia set

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UR - https://www.scopus.com/pages/publications/36549087131#tab=citedBy

U2 - 10.1007/s10208-005-0210-1

DO - 10.1007/s10208-005-0210-1

M3 - Article

AN - SCOPUS:36549087131

SN - 1615-3375

VL - 7

SP - 405

EP - 416

JO - Foundations of Computational Mathematics

JF - Foundations of Computational Mathematics

IS - 4

ER -

Filled Julia sets with empty interior are computable

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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