Borwein, J. M.Luke, D. Russell2004-12-222004-12-222004-11-16http://udspace.udel.edu/handle/19716/211We 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.471072 bytesapplication/pdfen-USContinued fractionsstochastic difference equationsstochastic matrix analysisAMS: 11J70, 40A15Technical Report