科研之友
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摘要
Consider a Galton-Watson tree T-n of height n, each leaf is either infected by one of k diseases or not infected at all. In other words, x at generation n is infected by the ith infection with probability p(i) and sane with probability p(k+1). Moreover, the infections are independently distributed for each leaf. Infections spread along the tree based on deterministic specific rules. We study the limit distribution of the disease of the root of T-n as n goes to infinity. We also study the specific case of a z-ary tree, and we prove convergence of the distribution of the root node for z <= 5.
- 出版日期2017-10
