Unlacing hypercube percolation : a survey

Onderzoeksoutput: Boek/rapportRapportAcademic

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The purpose of this note is twofold. First, we survey the study of the percolation phase transition on the Hamming hypercube {0,1}^m obtained in the series of papers [1,2,3,4]. Secondly, we explain how this study can be performed without the use of the so-called "lace-expansion" technique. To that aim, we provide a novel simple proof that the triangle condition holds at the critical probability. Keywords: Percolation; Phase transition; Hypercube
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's26
StatusGepubliceerd - 2013

Publicatie series

NaamReport Eurandom
Volume2013026
ISSN van geprinte versie1389-2355

Vingerafdruk

triangles
expansion

Citeer dit

Hofstad, van der, R. W., & Nachmias, A. (2013). Unlacing hypercube percolation : a survey. (Report Eurandom; Vol. 2013026). Eindhoven: Eurandom.
Hofstad, van der, R.W. ; Nachmias, A. / Unlacing hypercube percolation : a survey. Eindhoven : Eurandom, 2013. 26 blz. (Report Eurandom).
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Hofstad, van der, RW & Nachmias, A 2013, Unlacing hypercube percolation : a survey. Report Eurandom, vol. 2013026, Eurandom, Eindhoven.

Unlacing hypercube percolation : a survey. / Hofstad, van der, R.W.; Nachmias, A.

Eindhoven : Eurandom, 2013. 26 blz. (Report Eurandom; Vol. 2013026).

Onderzoeksoutput: Boek/rapportRapportAcademic

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Hofstad, van der RW, Nachmias A. Unlacing hypercube percolation : a survey. Eindhoven: Eurandom, 2013. 26 blz. (Report Eurandom).