000			02775nam a22003978i 4500
001			CR9780511543050
003			UkCbUP
005			20200124160240.0
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007			cr||||||||||||
008			090505s2003||||enk o ||1 0|eng|d
020			_a9780511543050 (ebook)
020			_z9780521825382 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA274.7 _b.M39 2003
082	0		_a519.233 _222
100	1		_aMauldin, R. Daniel, _d1943- _eauthor.
245	1	0	_aGraph directed Markov systems : _bgeometry and dynamics of limit sets _h[Texte imprimé] / _cR. Daniel Mauldin and Mariusz Urbaʹnski.
264		1	_aCambridge : _bCambridge University Press, _c2003.
300			_a1 online resource (xi, 281 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v148
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aIntroduction -- 1. Preliminaries -- 2. Symbolic dynamics -- 3. Hl̲der families of functions -- 4. Conformal graph directed Markov systems -- 5. Examples of graph directed Markov systems -- 6. Conformal iterated function systems -- 7. Dynamical rigidity of conformal iterated function systems -- 8. Parabolic iterated function systems -- 9. Parabolic systems: Hausdorff and packing measures.
520			_aThe main focus of this book is the exploration of the geometric and dynamic properties of a far reaching generalization of a conformal iterated function system - a Graph Directed Markov System. These systems are very robust in that they apply to many settings that do not fit into the scheme of conformal iterated systems. The basic theory is laid out here and the authors have touched on many natural questions arising in its context. However, they also emphasise the many issues and current research topics which can be found in original papers. For example the detailed analysis of the structure of harmonic measures of limit sets, the examination of the doubling property of conformal measures, the extensive study of generalized polynomial like mapping or multifractal analysis of geometrically finite Kleinian groups. This book leads readers onto frontier research in the field, making it ideal for both established researchers and graduate students.
650		0	_aMarkov processes.
650		0	_aGraph theory.
650		0	_aGeometric function theory.
650		0	_aLimit theorems (Probability theory)
700	1		_aUrbański, Mariusz, _eauthor.
776	0	8	_iPrint version: _z9780521825382
830		0	_aCambridge tracts in mathematics ; _v148.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511543050
999			_c518414 _d518412