Integral, probability, and fractal measures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1998
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 286 S. Ill., graph. Darst. |
| ISBN: | 0387982051 |
Staff View
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| 245 | 1 | 0 | |a Integral, probability, and fractal measures |c Gerald A. Edgar |
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| 300 | |a X, 286 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804126301437558784 |
|---|---|
| adam_text | Contents
Preface v
1. Fractal Measures 1
1.1 Measure Theory 1
1.2 Hausdorff and Packing Measures 13
1.3 Vitali Theorems 21
1.4 Other Local Fractal Measures 28
1.5 Geometry of Fractals 41
1.6* Ultrametric Spaces 54
1.7* Comparable Net Measures 58
1.8* Remarks 63
2. Integrals 69
2.1 Product Measures 69
2.2 Integrals 77
2.3 Radon Nikodym Theorem 88
2.4 Measures as Linear Functional 93
2.5 Spaces of Measures 100
2.6* Remarks 110
3. Integrals and Fractals 113
3.1* Topological and Fractal Dimension 113
3.2 Potential Theory 115
3.3 Fractal Measures 123
3.4 Self Affine Graphs 135
3.5* Graph Self Similar Measures 146
3.6* Remarks 148
4. Probability 153
4.1 Events 153
4.2 Random Variables 158
4.3 Dependence 175
4.4 Limit Theorems 195
4.5* Remarks 201
* Asterisks indicate optional sections.
x Contents
5. Probability and Fractals 203
5.1 The Chaos Game 203
5.2 Dimension of Self Similar Measures 208
5.3 Random Cantor Sets 213
5.4 Statistical Self Similarity 220
5.5 Statistically Self Affine Graphs 230
5.6 Brownian Motion 249
5.7* A Multifractal Decomposition 257
5.8* Remarks 262
References 267
Notation 279
Index 281
|
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| id | DE-604.BV011757208 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:17Z |
| institution | BVB |
| isbn | 0387982051 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007934485 |
| oclc_num | 36343436 |
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| owner | DE-739 DE-384 DE-29 DE-355 DE-BY-UBR DE-20 DE-824 DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-739 DE-384 DE-29 DE-355 DE-BY-UBR DE-20 DE-824 DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-188 |
| physical | X, 286 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| spelling | Edgar, Gerald A. 1949- Verfasser (DE-588)112698808 aut Integral, probability, and fractal measures Gerald A. Edgar New York [u.a.] Springer 1998 X, 286 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fractales ram Mesure, Théorie de la ram Mesures de probabilités ram Fractals Measure theory Probability measures Integral (DE-588)4131477-3 gnd rswk-swf Fraktalgeometrie (DE-588)4473576-5 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd rswk-swf Fraktal (DE-588)4123220-3 s Maßtheorie (DE-588)4074626-4 s DE-604 Wahrscheinlichkeitsmaß (DE-588)4137556-7 s Integral (DE-588)4131477-3 s Fraktalgeometrie (DE-588)4473576-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007934485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Edgar, Gerald A. 1949- Integral, probability, and fractal measures Fractales ram Mesure, Théorie de la ram Mesures de probabilités ram Fractals Measure theory Probability measures Integral (DE-588)4131477-3 gnd Fraktalgeometrie (DE-588)4473576-5 gnd Maßtheorie (DE-588)4074626-4 gnd Fraktal (DE-588)4123220-3 gnd Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd |
| subject_GND | (DE-588)4131477-3 (DE-588)4473576-5 (DE-588)4074626-4 (DE-588)4123220-3 (DE-588)4137556-7 |
| title | Integral, probability, and fractal measures |
| title_auth | Integral, probability, and fractal measures |
| title_exact_search | Integral, probability, and fractal measures |
| title_full | Integral, probability, and fractal measures Gerald A. Edgar |
| title_fullStr | Integral, probability, and fractal measures Gerald A. Edgar |
| title_full_unstemmed | Integral, probability, and fractal measures Gerald A. Edgar |
| title_short | Integral, probability, and fractal measures |
| title_sort | integral probability and fractal measures |
| topic | Fractales ram Mesure, Théorie de la ram Mesures de probabilités ram Fractals Measure theory Probability measures Integral (DE-588)4131477-3 gnd Fraktalgeometrie (DE-588)4473576-5 gnd Maßtheorie (DE-588)4074626-4 gnd Fraktal (DE-588)4123220-3 gnd Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd |
| topic_facet | Fractales Mesure, Théorie de la Mesures de probabilités Fractals Measure theory Probability measures Integral Fraktalgeometrie Maßtheorie Fraktal Wahrscheinlichkeitsmaß |
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