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We present an extension of the corner transfer matrix renormalisation group(CTMRG) method to O(n) invariant models, with particular interest in theself-avoiding walk class of models (O(n=0)). The method is illustrated using aninteracting self-avoiding walk model. Based on the efficiency and versatilitywhen compared to other available numerical methods, we present CTMRG as themethod of choice for two-dimensional self-avoiding walk problems.Comment: 4 pages 7 figures Substantial rewrite of previous version to include  calculations of critical points and exponents. Final version accepted for  publication in PRE (Rapid Communications

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

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Corner-transfer-matrix renormalization-group method for two-dimensional self-avoiding walks and otherO(n)models