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 [5]. 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.

Original languageEnglish
Title of host publicationSojourns in Probability Theory and Statistical Physics - III - Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman
EditorsVladas Sidoravicius
PublisherSpringer Nature
Pages166-186
Number of pages21
ISBN (Print)9789811503016
DOIs
StatePublished - 2019
EventInternational Conference on Probability Theory and Statistical Physics, 2016 - Shanghai, China
Duration: 25 Mar 201627 Mar 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume300
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Probability Theory and Statistical Physics, 2016
Country/TerritoryChina
CityShanghai
Period25/03/1627/03/16

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Critical regime, Free energy, Max-type recursive model, Survival probability

ID: 75053190