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- W3105874619 abstract "In this article, we prove that for any probability distribution $mu $ on $mathbb{N}$ one can construct a two-sided stationary version of the infinite-bin model – an interacting particle system introduced by Foss and Konstantopoulos – with move distribution $mu $. Using this result, we obtain a new formula for the speed of the front of infinite-bin models, as a series of positive terms. This implies that the growth rate $C(p)$ of the longest path in a Barak–Erdős graph of parameter $p$ is analytic on $(0,1]$." @default.
- W3105874619 created "2020-11-23" @default.
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- W3105874619 date "2019-11-02" @default.
- W3105874619 modified "2023-10-13" @default.
- W3105874619 title "Two-sided infinite-bin models and analyticity for Barak–Erdős graphs" @default.
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- W3105874619 doi "https://doi.org/10.3150/18-bej1097" @default.
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