Meander, Folding and Arch Statistics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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82 pages, uuencoded, uses harvmac (l mode) and epsf, 26+7 figures included

Scientific paper

10.1016/S0895-7177(97)00202-1

The statistics of meander and related problems are studied as particular realizations of compact polymer chain foldings. This paper presents a general discussion of these topics, with a particular emphasis on three points: (i) the use of a direct recursive relation for building (semi) meanders (ii) the equivalence with a random matrix model (iii) the exact solution of simpler related problems, such as arch configurations or irreducible meanders.

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