Matrix Model Combinatorics: Applications to Folding and Coloring

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dc.creatorDi Francesco, P.
dc.date1999-11-02
dc.date.accessioned2026-07-07T04:33:03Z
dc.date.available2026-07-07T04:33:03Z
dc.descriptionWe present a detailed study of the combinatorial interpretation of matrix integrals, including the examples of tessellations of arbitrary genera, and loop models on random surfaces. After reviewing their methods of solution, we apply these to the study of various folding problems arising from physics, including: the meander (or polymer folding) problem ``enumeration of all topologically inequivalent closed non-intersecting plane curves intersecting a line through a given number of points" and a fluid membrane folding problem reformulated as that of ``enumerating all vertex-tricolored triangulations of arbitrary genus, with given numbers of vertices of either color".
dc.description69 pp, 24 figs, uses harvmac and epsf
dc.identifierhttps://arxiv.org/abs/math-ph/9911002
dc.identifierhttp://arxiv.org/abs/math-ph/9911002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58431
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectCombinatorics
dc.titleMatrix Model Combinatorics: Applications to Folding and Coloring
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