17 citations · 31 across the 6 of their papers we have counts for
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math.PR2009★ 5 cited
Borel type bounds for the self-avoiding walk connective constant
B. T. Graham
Let be the self-avoiding walk connective constant on $\ZZ^d$. We show that the asymptotic expansion for in powers of satisfies Borel type bounds. This suppor…
math.PR2009★ 1 cited
Sublinear variance for directed last-passage percolation
B. T. Graham
A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage p…
math.PR2009★ 17 cited
Sharp thresholds for the random-cluster and Ising models
Benjamin Graham, Geoffrey Grimmett
A sharp-threshold theorem is proved for box-crossing probabilities on the square lattice. The models in question are the random-cluster model near the self-dual point $p_{\mathrm {…