Math Technical Report Series
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Browsing Math Technical Report Series by Subject "AMS: 11J70, 40A15"
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Item Dynamics of Random Continued Fractions(Department of Mathematical Sciences, 2004-11-16) Borwein, J. M.; Luke, D. RussellWe study a generalization of a continued fraction of Ramanujan with random coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the stability of random dynamical systems. We determine the convergence properties of stochastic difference equations and so divergence of their corresponding continued fractions.