Limit set of a weakly supercritical contact process on a homogeneous tree
نویسندگان
چکیده
منابع مشابه
Limit Set of a Weakly Supercritical Contact Process on a Homogeneous Tree
A conjecture of Liggett [9] concerning the regime of weak survival for the contact process on a homogeneous tree is proved. The conjecture is shown to imply that the Hausdorff dimension of the limit set of such a contact process is no larger than half the Hausdorff dimension of the space of ends of the tree. The conjecture is also shown to imply that at the boundary between weak survival and st...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1998
ISSN: 0091-1798
DOI: 10.1214/aop/1022855646