Dynamics of Random Continued Fractions
| Author(s) | Borwein, J. M. | |
| Author(s) | Luke, D. Russell | |
| Date Accessioned | 2004-12-22T02:53:14Z | |
| Date Available | 2004-12-22T02:53:14Z | |
| Publication Date | 2004-11-16 | |
| Abstract | We 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. | en |
| Sponsor | Russell Luke’s work was supported in part by a postdoctoral fellowship from the Pacific Institute for the Mathematical Sciences at Simon Fraser University. | en |
| Extent | 471072 bytes | |
| MIME type | application/pdf | |
| URL | http://udspace.udel.edu/handle/19716/211 | |
| Language | en_US | |
| Publisher | Department of Mathematical Sciences | en |
| Part of Series | Technical Report: 2004-10 | |
| Keywords | Continued fractions | en |
| Keywords | stochastic difference equations | en |
| Keywords | stochastic matrix analysis | en |
| dc.subject.classification | AMS: 11J70, 40A15 | |
| Title | Dynamics of Random Continued Fractions | en |
| Type | Technical Report | en |