Abstract

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: 1. (i) the use of a direct recursive relation for building (semi)meanders, 2. (ii) the equivalence with a random matrix model and 3. (iii) the exact solution of simpler related problems, such as arch configurations or irreducible meanders.

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