Conformal dimension: theory and application
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2010]
|
| Series: | University Lecture Series
Volume 54 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 143 Seiten Diagramme |
| ISBN: | 9780821852293 |
Staff View
MARC
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| 245 | 1 | 0 | |a Conformal dimension |b theory and application |c John M. Mackay, Jeremy T. Tyson |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2010] | |
| 264 | 4 | |c © 2010 | |
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Record in the Search Index
| _version_ | 1804143213684981760 |
|---|---|
| adam_text | List of
Figures
Chapter
1.
Background
material
1.1.
Notation and conventions
1.2.
Mappings
1.3.
Quasisymmetric
invariants
1.4.
Dimensions and
measures
1.5.
Notes
Contents
Preface
ix
xiii
1
1
1
8
9
17
Chapter
2.
Conformai
gauges and
conformai
dimension
21
2.1.
Conformai
gauges
21
2.2.
Conformai
dimension
22
2.3.
Notes
24
Chapter
3.
Gromov hyperbolic groups and spaces and their boundaries
25
3.1.
The real hyperbolic plane and
САТ(к)
spaces
25
3.2.
Gromov hyperbolic metric spaces
26
3.3.
Boundaries of rank one symmetric spaces
30
3.4.
Gromov hyperbolic groups
40
3.5.
Boundaries of hyperbolic buildings
43
3.6.
Notes
45
Chapter
4.
Lower bounds for
conformai
dimension
49
4.1.
Rich curve families and lower bounds for
conformai
dimension
49
4.2.
The Loewner condition and examples of spaces minimal for
conformai
dimension
55
4.3.
The
conformai
dimension of the
Sierpiński
carpet
58
4.4.
Annular LLC implies
conformai
dimension bounded away from
one
61
4.5.
Rich families of sets of
conformai
dimension one
62
4.6.
Notes
64
Chapter
5.
Sets and spaces of
conformai
dimension zero
67
5.1.
Conformai
dimension, porosity and uniform disconnectedness
67
5.2.
Conformai
dimension and unions
71
5.3.
Conformai
dimension and products
73
viii CONTENTS
5.4.
Tukia s example
77
5.5.
Notes
78
Chapter
6.
Gromov-Hausdorff tangent spaces and
conformai
dimension
79
6.1.
Tangent spaces and lower bounds for
conformai
Assouad
dimension
79
6.2.
Lowering the
conformai
Assouad dimension
82
6.3.
Notes
89
Chapter
7.
Ahlfors regular
conformai
dimension
91
7.1.
David-Semmes deformation theory
91
7.2.
Cannon s conjecture and Ahlfors regular
conformai
dimension
92
7.3.
ÍP
cohomology of graphs
93
7.4.
Dynamics of post-critically finite rational maps on S2
97
7.5.
Notes
104
Chapter
8.
Global quasiconformal dimension
107
8.1.
Distortion of dimension by quasiconformal maps
107
8.2.
Minimality for global quasiconformal dimension and middle
interval Cantor sets
108
8.3.
Global quasiconformal dimensions of self-similar sets
109
8.4.
Conformai
dimensions of self-affine sets
115
8.5.
Sets with global quasiconformal dimension zero
122
8.6.
Notes
125
Bibliography
131
Index
139
|
| any_adam_object | 1 |
| author | Mackay, John M. 1982- Tyson, Jeremy T. 1972- |
| author_GND | (DE-588)142095583 (DE-588)142094803 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.93 |
| dewey-search | 515/.93 |
| dewey-sort | 3515 293 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036608968 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:44:05Z |
| institution | BVB |
| isbn | 9780821852293 |
| language | English |
| lccn | 2010014667 |
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| oclc_num | 699733682 |
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| owner_facet | DE-83 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-188 |
| physical | xiii, 143 Seiten Diagramme |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | University Lecture Series |
| series2 | University Lecture Series |
| spelling | Mackay, John M. 1982- Verfasser (DE-588)142095583 aut Conformal dimension theory and application John M. Mackay, Jeremy T. Tyson Providence, Rhode Island American Mathematical Society [2010] © 2010 xiii, 143 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier University Lecture Series Volume 54 Quasikonforme Abbildung (DE-588)4199279-9 gnd rswk-swf Hausdorff-Maß (DE-588)4159238-4 gnd rswk-swf Quasikonforme Abbildung (DE-588)4199279-9 s Hausdorff-Maß (DE-588)4159238-4 s DE-604 Tyson, Jeremy T. 1972- Verfasser (DE-588)142094803 aut Erscheint auch als Online-Ausgabe 978-1-4704-1649-2 University Lecture Series Volume 54 (DE-604)BV004153846 54 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020529289&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mackay, John M. 1982- Tyson, Jeremy T. 1972- Conformal dimension theory and application University Lecture Series Quasikonforme Abbildung (DE-588)4199279-9 gnd Hausdorff-Maß (DE-588)4159238-4 gnd |
| subject_GND | (DE-588)4199279-9 (DE-588)4159238-4 |
| title | Conformal dimension theory and application |
| title_auth | Conformal dimension theory and application |
| title_exact_search | Conformal dimension theory and application |
| title_full | Conformal dimension theory and application John M. Mackay, Jeremy T. Tyson |
| title_fullStr | Conformal dimension theory and application John M. Mackay, Jeremy T. Tyson |
| title_full_unstemmed | Conformal dimension theory and application John M. Mackay, Jeremy T. Tyson |
| title_short | Conformal dimension |
| title_sort | conformal dimension theory and application |
| title_sub | theory and application |
| topic | Quasikonforme Abbildung (DE-588)4199279-9 gnd Hausdorff-Maß (DE-588)4159238-4 gnd |
| topic_facet | Quasikonforme Abbildung Hausdorff-Maß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020529289&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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