The Real Fatou Conjecture AM 144 Volume 144 is popular PDF and ePub book, written by Jacek Graczyk in 2014-09-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Real Fatou Conjecture AM 144 Volume 144 can be Read Online from any device for your convenience.
The Real Fatou Conjecture AM 144 Volume 144 Book PDF Summary
In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct models in physics, ecology, and economics. In this book, Jacek Graczyk and Grzegorz Swiatek provide a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis. The authors have written a self-contained and complete version of the argument, accessible to someone with no knowledge of complex dynamics and only basic familiarity with interval maps. The book will thus be useful to specialists in real dynamics as well as to graduate students.
Detail Book of The Real Fatou Conjecture AM 144 Volume 144 PDF
- Author : Jacek Graczyk
- Release : 08 September 2014
- Publisher : Princeton University Press
- ISBN : 9781400865185
- Genre : Mathematics
- Total Page : 158 pages
- Language : English
- PDF File Size : 13,9 Mb
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