LEADER 00000cam a2200613Ia 4500 001 ocn887499708 003 OCoLC 005 20160527040617.3 006 m o d 007 cr cnu---unuuu 008 140816s1998 nju ob 001 0 eng d 020 9781400865185|q(electronic book) 020 1400865182|q(electronic book) 035 (OCoLC)887499708 037 22573/ctt7680c7|bJSTOR 040 EBLCP|beng|epn|cEBLCP|dIDEBK|dN$T|dE7B|dOCLCQ|dDEBSZ |dJSTOR|dOCLCF|dYDXCP|dDEBBG|dOCLCQ 049 RIDW 050 4 QA614.58|b.G73 1998eb 072 7 MAT|x012000|2bisacsh 072 7 MAT040000|2bisacsh 072 7 MAT012040|2bisacsh 082 04 516.362|223 090 QA614.58|b.G73 1998eb 100 1 Graczyk, Jacek.|0https://id.loc.gov/authorities/names/ n98041815 245 14 The real Fatou conjecture /|cby Jacek Graczyk and Grzegorz Świa̧tek. 264 1 Princeton, N.J. :|bPrinceton University Press,|c1998. 300 1 online resource. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 Annals of mathematics studies ;|vnumber144 504 Includes bibliographical references and index. 520 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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Geodesics (Mathematics)|0https://id.loc.gov/authorities/ subjects/sh85053967 650 0 Mappings (Mathematics)|0https://id.loc.gov/authorities/ subjects/sh85080857 650 0 Polynomials.|0https://id.loc.gov/authorities/subjects/ sh85104702 650 7 Geodesics (Mathematics)|2fast|0https://id.worldcat.org/ fast/940368 650 7 Mappings (Mathematics)|2fast|0https://id.worldcat.org/fast /1008724 650 7 Polynomials.|2fast|0https://id.worldcat.org/fast/1070715 655 4 Electronic books. 700 1 Świa̧tek, Grzegorz,|d1964-|0https://id.loc.gov/authorities /names/n98041818 776 08 |iPrint version:|aGraczyk, Jacek.|tReal Fatou conjecture. |dPrinceton, N.J. : Princeton University Press, 1998 |z9780691002576 830 0 Annals of mathematics studies ;|0https://id.loc.gov/ authorities/names/n42002129|vno. 144. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=818439|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160607|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID