Asymptotic regimes for the occupancy scheme of multiplicative cascades

Details Asymptotic regimes for the occupancy scheme of multiplicative cascades Asymptotic regimes for the occupancy scheme of multiplicative cascades

2007-07-11

arxiv.org/abs/0707.1640v2

Mathematics

Probability

Scientific paper

In the classical occupancy scheme, one considers a fixed discrete probability measure ${\bf p}=(p_i: {i\in{\cal I}})$ and throws balls independently at random in boxes labeled by ${\cal I}$, such that $p_i$ is the probability that a given ball falls into the box $i$. In this work, we are interested in asymptotic regimes of this scheme in the situation induced by a refining sequence $({\bf p}(k) : k\in\N)$ of random probability measures which arise from some multiplicative cascade. Our motivation comes from the study of the asymptotic behavior of certain fragmentation chains

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