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Article Dans Une Revue Springer Proceedings in Mathematics & Statistics Année : 2019

A Max-Type Recursive Model: Some Properties and Open Questions

Résumé

We consider a simple hierarchical renormalization 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.

Dates et versions

hal-01723860 , version 1 (05-03-2018)

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Xinxing Chen, Bernard Derrida, Yueyun Hu, Mikhail Lifshits, Zhan Shi. A Max-Type Recursive Model: Some Properties and Open Questions. Springer Proceedings in Mathematics & Statistics, 2019, Sidoravicius, V. (eds) Sojourns in Probability Theory and Statistical Physics - III., 300, pp.166-186. ⟨10.1007/978-981-15-0302-3_6⟩. ⟨hal-01723860⟩
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