Very fat geometric Galton-Watson trees
نویسندگان
چکیده
منابع مشابه
Subcritical Galton-Watson Trees
Each variable X is a new, independent Uniform [0, 1] random number. For example, T = ∅ with probability 1−p, T = (∅, ∅) with probability p(1−p)2, and T = ((∅, ∅), ∅) with probability p2(1− p). The number of vertices N is equal to twice the number of left parentheses (parents) in the expression for T , plus one. Equivalently, N is twice the number of ∅s (leaves), minus one. It can be shown that ...
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Information cascades have been studied in the literature where myopic selfish users sequentially appear and make a decision to buy a product based on their private observation about the value of the product and actions of their predecessors. Bikhchandani et. al (1992) and Banerjee (1992) introduced such a model and showed that after a finite time almost surely, users discard their private infor...
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We give a necessary and sufficient condition for the convergence in distribution of a conditioned Galton-Watson tree to Kesten’s tree. This yields elementary proofs of Kesten’s result as well as other known results on local limit of conditioned Galton-Watson trees. We then apply this condition to get new results, in the critical and sub-critical cases, on the limit in distribution of a Galton-W...
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ژورنال
عنوان ژورنال: ESAIM: Probability and Statistics
سال: 2020
ISSN: 1262-3318
DOI: 10.1051/ps/2019026