Noncompact surfaces are packable

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Abstract

We show that every noncompact Riemann surface of finite type supports a circle packing. This extends earlier work of Robert Brooks and Phil Bowers and Ken Stephenson, who showed that the packable surfaces are dense in moduli space.

Original languageEnglish
Pages (from-to)243-255
Number of pages13
JournalJournal d'Analyse Mathematique
Volume90
DOIs
StatePublished - Jan 1 2003

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