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Part of the book series: Texts and Monographs in Physics ((TMP))

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Abstract

In this chapter we give a survey of the correlation inequalities which can be obtained using the random-walk formalism. We also discuss some profound inequalities which cannot be obtained within the random-walk formalism, but which need instead the full power of the random-current formalism. Some of the results in this chapter are given without proof; full details can be found in the cited references, especially [223] and [12].

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© 1992 Springer-Verlag Berlin Heidelberg

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Fernández, R., Fröhlich, J., Sokal, A.D. (1992). Correlation inequalities: A survey of results. In: Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02866-7_12

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  • DOI: https://doi.org/10.1007/978-3-662-02866-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02868-1

  • Online ISBN: 978-3-662-02866-7

  • eBook Packages: Springer Book Archive

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