Dynamics of a continued fraction of Ramanujan with random coefficients

Borwein, Jonathan M.; Luke, D. Russell

Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 449-467 / Harvested from Project Euclid

Résumé

We study a generalization of a continued fraction of Ramanujan with random, complex-valued 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 the divergence of their corresponding continued fractions.

Publié le : 2005-06-30
Classification:

@article{1122298479,
     author = {Borwein, Jonathan M. and Luke, D. Russell},
     title = {Dynamics of a continued fraction of Ramanujan with random coefficients},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 449-467},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1122298479}
}

Borwein, Jonathan M.; Luke, D. Russell. Dynamics of a continued fraction of Ramanujan with random coefficients. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  449-467. http://gdmltest.u-ga.fr/item/1122298479/