Monotonicity and phase diagram for multirange percolation on oriented trees

Bernardo N. B. de Lima*, Leonardo T. Rolla, Daniel Valesin

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

1 Citaat (Scopus)
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Samenvatting

We consider Bernoulli bond percolation on oriented regular trees, where besides the usual short bonds, all bonds of a certain length are added. Independently, short bonds are open with probability p and long bonds are open with probability q. We study properties of the critical curve which delimits the set of pairs (p,q) for which there are almost surely no infinite paths. We also show that this curve decreases with respect to the length of the long bonds.

Originele taal-2English
Pagina's (van-tot)160-172
Aantal pagina's13
TijdschriftRandom structures & algorithms
Volume55
Nummer van het tijdschrift1
DOI's
StatusPublished - aug-2019

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