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

Bernard Derrida; Mikhail Lifshits; Xinxing Chen; Yueyun Hu; Zhan Shi

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

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arxiv 1705.04787 v2 pith:OJTBWRIA submitted 2017-05-13 math.PR

Xinxing Chen , Bernard Derrida , Yueyun Hu , Mikhail Lifshits , Zhan Shi This is my paper · ORCID

classification math.PR

keywords max-typemodelmomentrecursiveassertionsconjecturesconsidercritical

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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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