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arXiv · 1705.04787

A max-type recursive model: some properties and open questions

Xinxing Chen·Bernard Derrida·Yueyun Hu·Mikhail Lifshits·Zhan Shi
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Abstract

We consider a simple max-type recursive model which was introduced in the study of depinning transition in presence of strong disorder, by Derrida and Retaux. Our interest is focused on the critical regime, for which we study the extinction probability, the first moment and the moment generating function. Several stronger assertions are stated as conjectures.

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Xinxing Chen, Bernard Derrida, Yueyun Hu, Mikhail Lifshits, Zhan Shi. 2017-05-13. A max-type recursive model: some properties and open questions. https://arxiv.org/abs/1705.04787

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