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Results tagged with pr.probability
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user 53071
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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Root degree in large subcritical Galton-Watson trees
Let $\mathcal{T}_n$ denote a subcritical Galton-Watson tree conditioned on having $n$ vertices. Assume that the offspring distribution $\xi$ is heavy-tailed and that there is an integer $k_0$ with
$$
…
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Ratio of expected diameter and height of a conditioned Galton-Watson tree
A Galton-Watson tree is the family tree of a Galton-Watson process. Let $T_n$ denote a Galton-Watson tree conditioned on total population size $n$. The time of extinction is its height $H(T_n)$ and it …
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