Construct · 1 fields · 1 citations

no wandering domains theorem: a standalone construct

One name. One construct. A landmark on the map.

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no wanderingdomains theorem1 CONSTRUCTNo wandering domainsSULLIVAN · COMPLEX ANALYSIS

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Complex analysis

every Fatou component of a rational map of the Riemann sphere is eventually periodic.

In complex analysis, no wandering domains theorem refers to every Fatou component of a rational map of the Riemann sphere is eventually periodic. This meaning comes from Sullivan (1985) in The Annals of Mathematics.[1]

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Nearby constructs

complex4 fields · 4 citationsjingle · one word, four constructscomponent3 fields · 5 citationsjingle · one word, three constructs

References

  1. Sullivan, D. (1985). Quasiconformal Homeomorphisms and Dynamics I. Solution of the Fatou-Julia Problem on Wandering Domains. The Annals of Mathematics, 122(2), 401. https://doi.org/10.2307/1971308

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