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arxiv: math/0609719 · v1 · submitted 2006-09-26 · 🧮 math.PR

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

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keywords estimateproofpropositionappearsbelowconfigurationconsequencecorrected
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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).

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