A. Hammond

most citedGreedy lattice animals: geometry and criticality (with an Appendix)

1 citations · 2 across the 3 of their papers we have counts for

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math.PR2004★ 1 cited

Greedy lattice animals: geometry and criticality (with an Appendix)

Alan Hammond

Assign to each site of the integer lattice $\Zd$ a real score, sampled according to the same distribution $F$ , independently of the choices made at all other sites. A lattice anima…

math.PR2004

Percolation and lattice animals: exponent relations, and conditions for $θ (p_{c}) = 0$

Alan Hammond

We examine the percolation model in $Z^{d}$ by an approach involving lattice animals, in which their relevant characteristic is surface-area-to-volume ratio. Two critical ex…

math.PR2004★ 1 cited

A lattice animal approach to percolation

Alan Hammond

We examine the percolation model on $Z^{d}$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $β \in [0, 2 (d - 1))$ , let $f (β)$ be the asympto…

Greedy lattice animals: geometry and criticality (with an Appendix)

Percolation and lattice animals: exponent relations, and conditions for θ(pc​)=0

A lattice animal approach to percolation

Percolation and lattice animals: exponent relations, and conditions for $θ (p_{c}) = 0$