In statistical physics and mathematics, percolation theory describes the behaviour of connected clusters in a random graph. The applications of… (More)

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Highly Cited

2007

Highly Cited

2007

- Massimo Franceschetti, Olivier Dousse, David Tse, Patrick Thiran
- IEEE Transactions on Information Theory
- 2007

An achievable bit rate per source-destination pair in a wireless network of n randomly located nodes is determined adopting the… (More)

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2007

2007

- Shang-Hua Teng, F. Frances Yao
- Algorithmica
- 2007

Let P be a realization of a homogeneous Poisson point process in ℝ d with density 1. We prove that there exists a constant k d… (More)

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2005

2005

- Johan Jonasson
- 2005

This paper is an up-to-date introduction to the problem of uniqueness versus non-uniqueness of infinite clusters for percolation… (More)

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Highly Cited

2004

Highly Cited

2004

- Lilan Hu
- 2004

Ultrathin, uniform single-walled carbon nanotube networks of varying densities have been fabricated at room temperature by a… (More)

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2002

2002

- PR King, SV Buldyrev, +4 authors H T Stanley
- 2002

Oil reservoirs are very complex having heterogeneities on all length scales from microns to tens of kilometres. These… (More)

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Highly Cited

2001

Highly Cited

2001

A new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the… (More)

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Highly Cited

2001

Highly Cited

2001

We study scaling limits and conformal invariance of critical site percolation on triangular lattice. We show that some… (More)

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Highly Cited

1996

Highly Cited

1996

A comprehensive study of percolation in a more general context than the usual Z d setting is proposed, with particular focus on… (More)

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1992

1992

- Thomas R. Mathies
- SODA
- 1992

Let <italic>H</italic> be an <italic>n</italic> x <italic>n</italic> mesh-connected array of processors. Each processor is… (More)

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Highly Cited

1991

Highly Cited

1991

- John L. Cardy
- 1991

The methods of conformal field theory are used to compute the crossing probabilities between segments of the boundary of a… (More)

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