Correction note. Typical configuration for one-dimensional random field Kac model

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Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414--1467, doi:10.1214/aop/1022677454] is wrong. We present below a corrected proof which introduces an extra factor 2 in equations (3.34) and (3.35). This has no consequence in the rest of the paper since Proposition 3.4 is used to estimate only ratios; see (3.23) and (3.25).
Published at http://dx.doi.org/10.1214/009117906000000160 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Probability, 60K35, 82B20, 82B43 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/116656

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609719
 http://arxiv.org/abs/math/0609719
 Annals of Probability 2006, Vol. 34, No. 4, 1641-1643
 doi:10.1214/009117906000000160

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arXiv