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American Physical Society, Physical Review Letters, 7(77), p. 1206-1209

DOI: 10.1103/physrevlett.77.1206

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Common trends in the critical behavior of the Ising and directed walk models

Journal article published in 1996 by Ferenc Igloi, Loïc Turban ORCID
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This paper is available in a repository.

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Abstract

4 pages, RevTeX file + 1 figure, epsf needed. To be published in PRL ; International audience ; We consider layered two-dimensional Ising and directed walk models and show that the two problems are inherently related. The information about the zero-field thermodynamical properties of the Ising model is contained into the transfer matrix of the directed walk. For several hierarchical and aperiodic distributions of the couplings, critical exponents for the two problems are obtained exactly through renormalization.