Fractals:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Plenum Pr.
1989
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Ausgabe: | 3. print. |
Schriftenreihe: | Physics of solids and liquids
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XV, 283 S. Ill., graph. Darst. 1 Beil. |
ISBN: | 0306428512 |
Internformat
MARC
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264 | 1 | |a New York [u.a.] |b Plenum Pr. |c 1989 | |
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490 | 0 | |a Physics of solids and liquids | |
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Datensatz im Suchindex
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adam_text | IMAGE 1
FRACTALS
JENS FEDER DEPARTMENT OF PHYSICS UNIVERSITY OF OSLO OSLO, NORWAY
PLENUM PRESS * NEW YORK AND LONDON
IMAGE 2
CONTENTS
COLOR PLATES XVII
1 INTRODUCTION 1
2 THE FRACTAL DIMENSION 6
2.1 THE COAST OF NORWAY 6
2.2 THE SCHWARZ AREA PARADOX 9
2.3 THE FRACTAL DIMENSION 11
2.4 THE TRIADIC KOCH CURVE 15
2.5 SIMILARITY AND SCALING 18
2.6 MANDELBROT-GIVEN AND SIERPINSKI CURVES 22
2.7 MORE ON SCALING 26
2.8 THE WEIERSTRASS-MANDELBROT FUNCTION 27
3 THE CLUSTER FRACTAL DIMENSION 31
3.1 MEASUREMENTS OF CLUSTER FRACTAL DIMENSIONS 36
4 VISCOUS FINGERING IN POROUS MEDIA 41
4.1 FLUID FLOW IN THE HELE-SHAW CELL 41
4.2 VISCOUS FINGERS IN HELE-SHAW CELLS 45
4.3 VISCOUS FINGERS IN TWO-DIMENSIONAL POROUS MEDIA 49
4.4 VISCOUS FINGERING AND DLA 53
4.5 VISCOUS FINGERS IN THREE-DIMENSIONAL POROUS MEDIA . . .. 56
XM
IMAGE 3
XIV CONTENTS
5 CANTOR SETS 62
5.1 THE TRIADIC CANTOR SET 62
5.2 SCALING WITH UNEQUAL RATIOS 64
6 MULTIFRACTAL MEASURES 66
6.1 CURDLING AND THE DEVIL S STAIRCASE 67
6.2 THE BINOMIAL MULTIPLICATIVE PROCESS 70
6.3 FRACTAL SUBSETS 73
6.4 THE LIPSCHITZ-HOLDER EXPONENT A 75
6.5 THE / ( A) CURVE 76
6.6 THE MEASURE S CONCENTRATE 78
6.7 THE SEQUENCE OF MASS EXPONENTS R(G) 80
6.8 THE RELATION BETWEEN R(G) AND / ( A) 83
6.9 CURDLING WITH SEVERAL LENGTH SCALES 85
6.10 MULTIFRACTAL RAYLEIGH-BENARD CONVECTION 89
6.11 DLA AND THE HARMONIC MEASURE 92
6.12 MULTIFRACTAL GROWTH OF VISCOUS FINGERS 96
7 PERCOLATION 104
7.1 SITE PERCOLATION ON A QUADRATIC LATTICE 105
7.2 THE INFINITE CLUSTER AT P E 109
7.3 SELF-SIMILARITY OF PERCOLATION CLUSTERS 112
7.4 FINITE CLUSTERS AT PERCOLATION 117
7.5 THE CLUSTER SIZE DISTRIBUTION AT P C 120
7.6 THE CORRELATION LENGTH F 122
7.7 THE PERCOLATION CLUSTER BACKBONE 126
7.8 INVASION PERCOLATION 131
7.9 THE FRACTAL DIFFUSION FRONT 139
8 FRACTAL RECORDS IN TIME 149
8.1 HURST S EMPIRICAL LAW AND RESCALED RANGE ANALYSIS . . .. 149
8.2 SIMULATIONS OF RANDOM RECORDS 154
8.3 SIMULATIONS OF LONG-TERM DEPENDENCE 157
IMAGE 4
CONTENTS XV
9 RANDOM WALKS AND FRACTALS 163
9.1 BROWNIAN MOTION 163
9.2 RANDOM WALK IN ONE DIMENSION 164
9.3 SCALING PROPERTIES OF ONE-DIMENSIONAL RANDOM WALKS . .. 166 9.4
FRACTIONAL BROWNIAN MOTION 170
9.5 DEFINITION OF FRACTIONAL BROWNIAN MOTION 172
9.6 SIMULATION OF FRACTIONAL BROWNIAN MOTION 173
9.7 R/S ANALYSIS OF FRACTIONAL BROWNIAN MOTION 178
9.8 SUCCESSIVE RANDOM ADDITION 180
10 SELF-SIMILARITY AND SELF-AFFINITY 184
10.1 THE STRATEGY OF BOLD PLAY 189
11 WAVE-HEIGHT STATISTICS 193
11.1 R/S ANALYSIS OF THE OBSERVED H S 194
11.2 R/S FOR SEASONALLY ADJUSTED DATA 195
12 THE PERIMETER-AREA RELATION 200
12.1 THE FRACTAL DIMENSION OF CLOUDS 202
12.2 THE FRACTAL DIMENSION OF RIVERS 208
13 FRACTAL SURFACES 212
13.1 THE FRACTAL KOCH SURFACE 212
13.2 RANDOM TRANSLATION SURFACES 214
13.3 GENERATING FRACTAL SURFACES 216
13.4 RANDOM ADDITION SURFACES 221
13.5 COMMENTS ON FRACTAL LANDSCAPES 228
14 OBSERVATIONS OF FRACTAL SURFACES 229
14.1 OBSERVED SURFACE TOPOGRAPHY 229
14.2 D FOR LANDSCAPES AND ENVIRONMENTAL DATA 234
14.3 MOLECULAR FRACTAL SURFACES 236
REFERENCES 244
AUTHOR INDEX 258
SUBJECT INDEX 265
|
any_adam_object | 1 |
author | Feder, Jens |
author_facet | Feder, Jens |
author_role | aut |
author_sort | Feder, Jens |
author_variant | j f jf |
building | Verbundindex |
bvnumber | BV003708647 |
classification_rvk | SK 380 SK 950 UG 3900 |
ctrlnum | (OCoLC)476113448 (DE-599)BVBBV003708647 |
dewey-full | 516.13 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516 .13 |
dewey-search | 516 .13 |
dewey-sort | 3516 213 |
dewey-tens | 510 - Mathematics |
discipline | Physik Mathematik |
edition | 3. print. |
format | Book |
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id | DE-604.BV003708647 |
illustrated | Illustrated |
indexdate | 2024-07-09T16:04:11Z |
institution | BVB |
isbn | 0306428512 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002360883 |
oclc_num | 476113448 |
open_access_boolean | |
owner | DE-384 DE-29T DE-19 DE-BY-UBM DE-83 DE-188 |
owner_facet | DE-384 DE-29T DE-19 DE-BY-UBM DE-83 DE-188 |
physical | XV, 283 S. Ill., graph. Darst. 1 Beil. |
publishDate | 1989 |
publishDateSearch | 1989 |
publishDateSort | 1989 |
publisher | Plenum Pr. |
record_format | marc |
series2 | Physics of solids and liquids |
spelling | Feder, Jens Verfasser aut Fractals 3. print. New York [u.a.] Plenum Pr. 1989 XV, 283 S. Ill., graph. Darst. 1 Beil. txt rdacontent n rdamedia nc rdacarrier Physics of solids and liquids Fraktal (DE-588)4123220-3 gnd rswk-swf Fraktal (DE-588)4123220-3 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002360883&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Feder, Jens Fractals Fraktal (DE-588)4123220-3 gnd |
subject_GND | (DE-588)4123220-3 |
title | Fractals |
title_auth | Fractals |
title_exact_search | Fractals |
title_full | Fractals |
title_fullStr | Fractals |
title_full_unstemmed | Fractals |
title_short | Fractals |
title_sort | fractals |
topic | Fraktal (DE-588)4123220-3 gnd |
topic_facet | Fraktal |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002360883&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT federjens fractals |