Asymptotic regimes for the occupancy scheme of multiplicative cascades

Bertoin, Jean; Fontbona, J; Martinez, S (2008). Asymptotic regimes for the occupancy scheme of multiplicative cascades. Stochastic Processes and their Applications, 118(9):1586-1605.

Abstract

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

Abstract

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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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 2008 29 May 2013 15:24 05 Apr 2016 16:47 Elsevier 0304-4149 Publisher DOI. An embargo period may apply. https://doi.org/10.1016/j.spa.2007.10.004 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1148.60013http://arxiv.org/abs/0707.1640

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