Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2010
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
954 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018930294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | "Volume 203, number 954 (third of 5 numbers)" Literaturverz. S. 103 - 105 |
| Umfang: | V, 107 S. |
| ISBN: | 9780821846599 |
Internformat
MARC
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| 245 | 1 | 0 | |a Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order |c Volker Mayer ; Mariusz Urbański |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2010 | |
| 300 | |a V, 107 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 954 | |
| 500 | |a "Volume 203, number 954 (third of 5 numbers)" | ||
| 500 | |a Literaturverz. S. 103 - 105 | ||
| 650 | 4 | |a Fractals | |
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Functions, Meromorphic | |
| 650 | 0 | 7 | |a Komplexe Variable |0 (DE-588)4164905-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Meromorphe Funktion |0 (DE-588)4136862-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fraktal |0 (DE-588)4123220-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Meromorphe Funktion |0 (DE-588)4136862-9 |D s |
| 689 | 0 | 1 | |a Komplexe Variable |0 (DE-588)4164905-9 |D s |
| 689 | 0 | 2 | |a Fraktal |0 (DE-588)4123220-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Urbański, Mariusz |d 1958- |e Verfasser |0 (DE-588)120432684 |4 aut | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 954 |w (DE-604)BV008000141 |9 954 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018930294 | |
Datensatz im Suchindex
| _version_ | 1819296029459087360 |
|---|---|
| adam_text | Contents
Chapter
1,
Introduction
Chapter
2.
Balanced functions
5
2.1.
Growth conditions
5
2.2.
The precise form of
а.^
6
2.3.
Classical families
7
2.4.
Functions with polynomial Schwarzian derivative
8
2.5.
Functions with rational Schwarzian derivative
10
2.6.
Uniform balanced growth
11
Chapter
3.
Transfer operator and Nevanlinna Theory
13
3.1.
Choice of a Riemannian metric and transfer operator
13
3.2.
Nevanlinna Theory and
Borei
Sums
14
Chapter
4.
Preliminaries, Hyperbolicity and Distortion Properties
17
4.1.
Dynamical preliminaries and hyperbolicity
17
4.2.
Distortion properties
20
4.3.
Holder functions and dynamical Holder property
21
Chapter
5.
Perron-Probenius Operators and Generalized
Conformai
Measures
23
5.1.
Tame potentials
23
5.2.
Growth condition and cohomological Perron-Frobenius operator
24
5.3.
Topological pressure and existence of
conformai
measures
25
5.4.
Tnermodynamical formalism
28
5.5.
The support and uniqueness of the
conformai
measure
31
Chapter
6.
Finer properties of Gibbs States
35
6.1.
The two norm inequality and the spectral gap
35
6.2.
Ergodic properties of Gibbs states
39
6.3.
Decay of correlations and Central Limit Theorem
41
6.4.
Cohomologies and
σ2
= 0 45
6.5.
Variational principle
49
Chapter
7.
Regularity of Perron-Frobenius Operators and Topological
Pressure
55
7.1.
Analyticity of Perron-Frobenius operators
55
7.2.
Analyticity of pressure
58
7.3.
Derivatives of the pressure function
60
Chapter
8.
Multirracial
analysis
79
8.1.
Hausdorff dimension of Gibbs states
79
iii
iv CONTENTS
8.2.
The temperature function
82
8.3.
Multifŕaetal
analysis
86
Chapter
9.
Multifractal Analysis of Analytic Families of Dynamically Regular
Functions
91
9.1.
Extensions of harmonic functions
91
9.2.
Holomorphic families and quasi-conformal conjugacies
93
9.3.
Real analyticity of the multifractal function
95
Bibliography
103
Index
107
|
| any_adam_object | 1 |
| author | Mayer, Volker 1964- Urbański, Mariusz 1958- |
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| author_sort | Mayer, Volker 1964- |
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| building | Verbundindex |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)457767226 (DE-599)OBVAC07978140 |
| dewey-full | 515/.982 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.982 |
| dewey-search | 515/.982 |
| dewey-sort | 3515 3982 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036038366 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T14:05:21Z |
| institution | BVB |
| isbn | 9780821846599 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018930294 |
| oclc_num | 457767226 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-83 |
| physical | V, 107 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Mayer, Volker 1964- Urbański, Mariusz 1958- Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order Memoirs of the American Mathematical Society Fractals Functions of complex variables Functions, Meromorphic Komplexe Variable (DE-588)4164905-9 gnd Meromorphe Funktion (DE-588)4136862-9 gnd Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4164905-9 (DE-588)4136862-9 (DE-588)4123220-3 |
| title | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order |
| title_auth | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order |
| title_exact_search | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order |
| title_full | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order Volker Mayer ; Mariusz Urbański |
| title_fullStr | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order Volker Mayer ; Mariusz Urbański |
| title_full_unstemmed | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order Volker Mayer ; Mariusz Urbański |
| title_short | Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order |
| title_sort | thermodynamical formalism and multifractal analysis for meromorphic functions of finite order |
| topic | Fractals Functions of complex variables Functions, Meromorphic Komplexe Variable (DE-588)4164905-9 gnd Meromorphe Funktion (DE-588)4136862-9 gnd Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Fractals Functions of complex variables Functions, Meromorphic Komplexe Variable Meromorphe Funktion Fraktal |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018930294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT mayervolker thermodynamicalformalismandmultifractalanalysisformeromorphicfunctionsoffiniteorder AT urbanskimariusz thermodynamicalformalismandmultifractalanalysisformeromorphicfunctionsoffiniteorder |