The Stable Derrida–Retaux System at Criticality

  title={The Stable Derrida–Retaux System at Criticality},
  author={Xinxing Chen and Zhan Shi},
  journal={arXiv: Probability},
The Derrida--Retaux recursive system was investigated by Derrida and Retaux (2014) as a hierarchical renormalization model in statistical physics. A prediction of Derrida and Retaux (2014) on the free energy has recently been rigorously proved (Chen, Dagard, Derrida, Hu, Lifshits and Shi (2019+)), confirming the Berezinskii--Kosterlitz--Thouless-type phase transition in the system. Interestingly, it has been established in Chen, Dagard, Derrida, Hu, Lifshits and Shi (2019+) that the prediction… 
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  • C. Monthus
  • Physics
    Journal of Statistical Mechanics: Theory and Experiment
  • 2017
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