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arxiv: 1402.0440 · v1 · pith:LJRZNZBOnew · submitted 2014-02-03 · 🧮 math.DS

Non-computable impressions of computable external rays of quadratic polynomials

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keywords impressionsnon-computablequadraticsetscompactcomputabilitycomputableconstruct
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We discuss computability of impressions of prime ends of compact sets. In particular, we construct quadratic Julia sets which possess explicitly described non-computable impressions.

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