Dynamics of a continued fraction of Ramanujan with random coefficients
2005 ◽
Vol 2005
(5)
◽
pp. 449-467
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Keyword(s):
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.
1933 ◽
Vol 3
(3)
◽
pp. 189-200
◽
Keyword(s):
1979 ◽
Vol 89
◽
pp. 95-101
Keyword(s):
2013 ◽
Vol 16
(1)
◽
pp. 19-36
1987 ◽
Vol 34
(5)
◽
pp. 533-545
◽
1992 ◽
Vol 40
(1)
◽
pp. 15-28
◽