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Trees, forests and jungles: A botanical garden for cluster expansions

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Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 446))

Abstract

Combinatoric formulas for cluster expansions have been improved many times over the years. Here we develop some new combinatoric proofs and extensions of the tree formulas of Brydges and Kennedy, and test them on a series of pedagogical examples.

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References

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Vincent Rivasseau

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© 1995 Springer-Verlag

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Abdesselam, A., Rivasseau, V. (1995). Trees, forests and jungles: A botanical garden for cluster expansions. In: Rivasseau, V. (eds) Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics. Lecture Notes in Physics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59190-7_20

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  • DOI: https://doi.org/10.1007/3-540-59190-7_20

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  • Online ISBN: 978-3-540-49222-1

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