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Monotonicity and phase diagram for multi-range percolation on oriented trees

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 نشر من قبل Leonardo Rolla
 تاريخ النشر 2017
  مجال البحث
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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.



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