A Max-Type Recursive Model: Some Properties and Open QuestionsShow others and affiliations
2019 (English)In: SOJOURNS IN PROBABILITY THEORY AND STATISTICAL PHYSICS - III: INTERACTING PARTICLE SYSTEMS AND RANDOM WALKS, A FESTSCHRIFT FOR CHARLES M. NEWMAN, SPRINGER-VERLAG SINGAPORE PTE LTD , 2019, Vol. 300, p. 166-186Conference paper, Published paper (Refereed)
Abstract [en]
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.
Place, publisher, year, edition, pages
SPRINGER-VERLAG SINGAPORE PTE LTD , 2019. Vol. 300, p. 166-186
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009
Keywords [en]
Max-type recursive model; Critical regime; Free energy; Survival probability
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-209764DOI: 10.1007/978-981-15-0302-3_6ISI: 000653693800006ISBN: 9789811503023 (electronic)ISBN: 9789811503016 (print)OAI: oai:DiVA.org:liu-209764DiVA, id: diva2:1913467
Conference
Conference on Probability Theory and Statistical Physics, NYU, Inst Math Sci, Shanghai, PEOPLES R CHINA, mar 25-27, 2016
Note
Funding Agencies|NSFC [11771286, 11531001]; RFBR [16-01-00258]
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