The dual Derrida–Retaux conjecture

Xinxing Chen, Yueyun Hu and Zhan Shi

Stochastic Processes and their Applications, 2024, vol. 171, issue C

Abstract: We consider a recursive system (Xn) which was introduced by Collet et al. (1984)) as a spin glass model, and later by Derrida et al. (1992) and by Derrida and Retaux (2014) as a simplified hierarchical renormalization model. The system (Xn) is expected to possess highly nontrivial universalities at or near criticality. In the nearly supercritical regime, Derrida and Retaux (2014) conjectured that the free energy of the system decays exponentially with exponent (p−pc)−12 as p↓pc. We are interested in the nearly subcritical regime (p↑pc), and study a dual version of the Derrida–Retaux conjecture.

Keywords: Recursive system; Subcritical regime; Derrida–Retaux conjecture (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304414924000383
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:171:y:2024:i:c:s0304414924000383

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spa.2024.104332

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().