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Distribution of iterates of first order difference equations
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1980
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