000			02948nam a22003978i 4500
001			CR9781139193184
003			UkCbUP
005			20200124160239.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			111109s2010||||enk o ||1 0|eng|d
020			_a9781139193184 (ebook)
020			_z9780521438001 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA609 _b.P79 2010
082	0	0	_a514/.742 _222
100	1		_aPrzytycki, Feliks, _eauthor.
245	1	0	_aConformal fractals : _bergodic theory methods / _cFeliks Przytycki, Mariusz Urbański.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (x, 354 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v371
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tIntroduction -- _g1. _tBasic examples and definitions -- _g2. Measure-preserving endomorphisms -- _g3. _tErgodic theory on compact metric spaces -- _g4. _tDistance-expanding maps -- _g5. _tThermodynamical formalism -- _g6. _tExpanding repellers in manifolds and in the Riemann sphere: preliminaries -- _g7. _tCantor repellers in the line; Sullivan's scaling function; application in Feigenbaum universality -- _g8. _tFractal dimensions -- _g9. _tConformal expanding repellers -- _g10. _tSullivan's classification of conformal expanding repellers -- _g11. _tHolomorphic maps with invariant probability measures of positive Lyapunov exponent -- _g12. _tConformal measures.
520			_aThis is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity. Detailed proofs are included. Developed from university courses taught by the authors, this book is ideal for graduate students. Researchers will also find it a valuable source of reference to a large and rapidly expanding field. It eases the reader into the subject and provides a vital springboard for those beginning their own research. Many helpful exercises are also included to aid understanding of the material presented and the authors provide links to further reading and related areas of research.
650		0	_aConformal geometry.
650		0	_aFractals.
650		0	_aErgodic theory.
650		0	_aIterative methods (Mathematics)
700	1		_aUrbański, Mariusz, _eauthor.
776	0	8	_iPrint version: _z9780521438001
830		0	_aLondon Mathematical Society lecture note series ; _v371.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139193184
999			_c518391 _d518389