000			03847nam a22004933i 4500
001			EBC3114086
003			MiAaPQ
005			20240729124559.0
006			m o d |
007			cr cnu||||||||
008			240724s2010 xx o ||||0 eng d
020			_a9781470405687 _q(electronic bk.)
020			_z9780821846599
035			_a(MiAaPQ)EBC3114086
035			_a(Au-PeEL)EBL3114086
035			_a(CaPaEBR)ebr11039705
035			_a(OCoLC)922981615
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA331 -- .M39 2009eb
082	0		_a515.982
100	1		_aMayer, Volker.
245	1	0	_aThermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2010.
264		4	_c©2009.
300			_a1 online resource (120 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.203
505	0		_aIntro -- Contents -- Abstract -- Chapter 1. Introduction -- Chapter 2. Balanced functions -- 2.1. Growth conditions -- 2.2. The precise form of 2 -- 2.3. Classical families -- 2.4. Functions with polynomial Schwarzian derivative -- 2.5. Functions with rational Schwarzian derivative -- 2.6. Uniform balanced growth -- Chapter 3. Transfer operator and Nevanlinna Theory -- 3.1. Choice of a Riemannian metric and transfer operator -- 3.2. Nevanlinna Theory and Borel Sums -- Chapter 4. Preliminaries, Hyperbolicity and Distortion Properties -- 4.1. Dynamical preliminaries and hyperbolicity -- 4.2. Distortion properties -- 4.3. Hölder functions and dynamical Hölder property -- Chapter 5. Perron--Frobenius Operators and Generalized Conformal Measures -- 5.1. Tame potentials -- 5.2. Growth condition and cohomological Perron--Frobenius operator -- 5.3. Topological pressure and existence of conformal measures -- 5.4. Thermodynamical formalism -- 5.5. The support and uniqueness of the conformal measure -- Chapter 6. Finer properties of Gibbs States -- 6.1. The two norm inequality and the spectral gap -- 6.2. Ergodic properties of Gibbs states -- 6.3. Decay of correlations and Central Limit Theorem -- 6.4. Cohomologies and 2=0 -- 6.5. Variational principle -- Chapter 7. Regularity of Perron-Frobenius Operators and Topological Pressure -- 7.1. Analyticity of Perron-Frobenius operators -- 7.2. Analyticity of pressure -- 7.3. Derivatives of the pressure function -- Chapter 8. Multifractal analysis -- 8.1. Hausdorff dimension of Gibbs states -- 8.2. The temperature function -- 8.3. Multifractal analysis -- Chapter 9. Multifractal Analysis of Analytic Families of Dynamically Regular Functions -- 9.1. Extensions of harmonic functions -- 9.2. Holomorphic families and quasi-conformal conjugacies -- 9.3. Real analyticity of the multifractal function -- Bibliography.
505	8		_aIndex.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aFunctions, Meromorphic.
650		0	_aFunctions of complex variables.
650		0	_aFractals.
655		4	_aElectronic books.
700	1		_aUrbański, Mariusz.
776	0	8	_iPrint version: _aMayer, Volker _tThermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order _dProvidence : American Mathematical Society,c2010 _z9780821846599
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114086 _zClick to View
999			_c69617 _d69617