For a geometric-offspring generalized Derrida-Retaux model, the marginal parameters have explicit asymptotic expansions in every regime, yielding sharp decay rates for the survival probability and mean.
and Bandyopadhyay, A.: A survey of max-type recursive distributional equations
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Asymptotic behavior of the generalized Derrida-Retaux recursive model
For a geometric-offspring generalized Derrida-Retaux model, the marginal parameters have explicit asymptotic expansions in every regime, yielding sharp decay rates for the survival probability and mean.