The Annals of Probability

“Typical configuration for one-dimensional random field Kac model”

Marzio Cassandro, Enza Orlandi, and Pierre Picco

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Abstract

Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414–1467] 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).

Article information

Source
Ann. Probab., Volume 34, Number 4 (2006), 1641-1643.

Dates
First available in Project Euclid: 19 September 2006

Permanent link to this document
https://projecteuclid.org/euclid.aop/1158673333

Digital Object Identifier
doi:10.1214/009117906000000160

Mathematical Reviews number (MathSciNet)
MR2257661

Zentralblatt MATH identifier
1108.60316

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82B20: Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs 82B43: Percolation [See also 60K35]

Keywords
Phase transition random walk random environment Kac potential

Citation

Cassandro, Marzio; Orlandi, Enza; Picco, Pierre. “Typical configuration for one-dimensional random field Kac model”. Ann. Probab. 34 (2006), no. 4, 1641--1643. doi:10.1214/009117906000000160. https://projecteuclid.org/euclid.aop/1158673333


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