Diagrammatic bounds on the lace-expansion coefficients for oriented percolation

Details Diagrammatic bounds on the lace-expansion coefficients for oriented percolation Diagrammatic bounds on the lace-expansion coefficients for oriented percolation

2007-08-21

arxiv.org/abs/0708.2897v1

Mathematics

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11 pages, supporting manuscript for [arXiv:math/0703455]

Scientific paper

We provide a complete proof of the diagrammatic bounds on the lace-expansion
coefficients for oriented percolation, which are used in [arXiv:math/0703455]
to investigate critical behavior for long-range oriented percolation above
2\min{\alpha,2} spatial dimensions.

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