000			03006nam a22005175i 4500
001			978-3-319-11707-2
003			DE-He213
005			20180115171622.0
007			cr nn 008mamaa
008			141101s2014 gw | s |||| 0|eng d
020			_a9783319117072 _9978-3-319-11707-2
024	7		_a10.1007/978-3-319-11707-2 _2doi
050		4	_aQA313
072		7	_aPBWR _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aLanford III, Oscar E. _eauthor.
245	1	0	_aFixed Point of the Parabolic Renormalization Operator _h[electronic resource] / _cby Oscar E. Lanford III, Michael Yampolsky.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014.
300			_aVIII, 111 p. 15 illus., 11 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Mathematics, _x2191-8198
505	0		_a1 Introduction -- 2 Local dynamics of a parabolic germ -- 3 Global theory -- 4 Numerical results -- 5 For dessert: several amusing examples -- Index.
520			_aThis monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point.   Inside, readers will find a detailed introduction into the theory of parabolic bifurcation,  Fatou coordinates, Écalle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization.   The systematic view of parabolic renormalization developed in the book and the numerical approach to its study will be interesting to both experts in the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics.
650		0	_aMathematics.
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aFunctions of complex variables.
650		0	_aNumerical analysis.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aNumerical Analysis.
700	1		_aYampolsky, Michael. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319117065
830		0	_aSpringerBriefs in Mathematics, _x2191-8198
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-11707-2
912			_aZDB-2-SMA
999			_c371547 _d371547