Journal article

Distribution of iterates of first order difference equations

JB McGuire, CJ Thompson

Bulletin of the Australian Mathematical Society | Published : 1980


An invariant measure which is absolutely continuous with respect to Lebesgue measure is constructed for a particular first order difference equation that has an extensive biological pedigree. In a biological context this invariant measure gives the density of the population whose growth is governed by the difference equation. Further asymptotically universal results are obtained for a class of difference equations.

University of Melbourne Researchers

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