ExperimentalMath.biz

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Experimental Mathematics Website

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This is a plot of some iterates related to "Ramanujan continued fractions". With assistance of such plots, the behavior of these iterates (and the Ramanujan continued fractions themselves) are now quite well understood. These studies have ventured into matrix theory, real analysis and even the theory of martingales from probability theory. For additional details, see "Experimental Mathematics: Examples, Methods and Implications", Notices of the AMS, May 2005 (available at PDF) or Chapter 1 in the upcoming book "Experimental Mathematics in Action" (see below).
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