A max-type recursive model: some properties and open questions
Probability
2020-02-11 v2
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.
Keywords
Cite
@article{arxiv.1705.04787,
title = {A max-type recursive model: some properties and open questions},
author = {Xinxing Chen and Bernard Derrida and Yueyun Hu and Mikhail Lifshits and Zhan Shi},
journal= {arXiv preprint arXiv:1705.04787},
year = {2020}
}
Comments
A version accepted to Charles Newman Festschrift (to appear by Springer)