Combinatorial Ricci flows on surfaces

Bennett Chow, Feng Luo

Research output: Contribution to journalArticlepeer-review

193 Scopus citations


We show that the analogue of Hamilton’s Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston’s circle packing on surfaces. As a consequence, a new proof of Thurston’s existence of circle packing theorem is obtained. As another consequence, Ricci flow suggests a new algorithm to find circle packings.

Original languageEnglish (US)
Pages (from-to)97-129
Number of pages33
JournalJournal of Differential Geometry
Issue number1
StatePublished - 2003

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


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