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- W2964792391 abstract "Abstract The accessibility percolation model is investigated on random rooted labeled trees. More precisely, the number of accessible leaves (i.e. increasing paths) Z n and the number of accessible vertices C n in a random rooted labeled tree of size n are jointly considered in this work. As n → ∞, we prove that ( Z n , C n ) converges in distribution to a random vector whose probability generating function is given in an explicit form. In particular, we obtain that the asymptotic distributions of Z n + 1 and C n are geometric distributions with parameters e / (1 + e) and 1 / e, respectively. Much of our analysis is performed in the context of local weak convergence of random rooted labeled trees." @default.
- W2964792391 created "2019-08-13" @default.
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- W2964792391 date "2019-06-01" @default.
- W2964792391 modified "2023-09-23" @default.
- W2964792391 title "Accessibility percolation on random rooted labeled trees" @default.
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- W2964792391 doi "https://doi.org/10.1017/jpr.2019.29" @default.
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