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Fractal and multifractal geometry: scaling symmetry and statistics
Author(s) -
Frame Michael,
Martino William
Publication year - 2012
Publication title -
wiley interdisciplinary reviews: computational statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.693
H-Index - 38
eISSN - 1939-0068
pISSN - 1939-5108
DOI - 10.1002/wics.1207
Subject(s) - multifractal system , fractal , scaling , computational statistics , fractal dimension , symmetry (geometry) , mathematics , statistical physics , dimension (graph theory) , box counting , fractal analysis , series (stratigraphy) , measure (data warehouse) , geometry , computer science , algorithm , statistics , mathematical analysis , combinatorics , data mining , physics , paleontology , biology
Scaling symmetry is explored in several settings, deterministic, stochastic, and natural. Complexity of geometric fractals is quantified by dimension; complexity of a scaling measure is quantified by the multifractal spectrum. Some statistical examples are explored. WIREs Comput Stat 2012, 4:249–274. doi: 10.1002/wics.1207 This article is categorized under: Algorithms and Computational Methods > Computer Graphics Applications of Computational Statistics > Computational Mathematics Data: Types and Structure > Time Series, Stochastic Processes, and Functional Data