Folding and coloring problems in mathematics and physics

Research output: Contribution to journalArticlepeer-review


We review various folding problems arising in the physics of membranes and polymers. These are (1) the phantom folding of tethered membranes, i.e. the two-dimensional lattice folding; (2) the phantom folding of fluid membranes, i.e. the folding of tessellations of arbitrary genus; (3) the self-avoiding folding of polymers, i.e. the meander problem. All three problems are found to be related to coloring problems and possess one kind of underlying integrable structure, in different guises. Many mathematical results follow from taking advantage of this fact.

Original languageEnglish (US)
Pages (from-to)251-307
Number of pages57
JournalBulletin of the American Mathematical Society
Issue number3
StatePublished - Jul 2000
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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