Abstract
It is the presence of circuits in Ld which causes difficulties in exact calculations: there are many different paths joining two specified vertices, and pairs of such paths generally have edges in common In attempting to understand critical phenomena, it is usual to tackle first the corresponding problem on a rather special lattice, being a lattice which is devoid of circuits; we do this in the hope that the ensuing calculation will be simple but will help in the development of insight into more general situations. Such a lattice is called a tree, and it is to percolation on trees that this section is devoted.
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© 1999 Springer-Verlag Berlin Heidelberg
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Grimmett, G. (1999). Near the Critical Point: Rigorous Results. In: Percolation. Grundlehren der mathematischen Wissenschaften, vol 321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03981-6_10
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DOI: https://doi.org/10.1007/978-3-662-03981-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08442-3
Online ISBN: 978-3-662-03981-6
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