Multifractals : Theory and Applications


David. Harte
Bok Engelsk 2001 · Electronic books.
Utgitt
Hoboken : : CRC Press, , 2001.
Omfang
1 online resource (263 p.)
Opplysninger
Description based upon print version of record.. - Preface; List of Figures; List of Notation; Contents; 1 Motivation and Background; 2 The Multifractal Formalism; 3The Multinomial Measure; 4 Lattice Based Multifractals; 5 Point Centred Multifractals; 6 Multiplicative Cascade Processes; 7 Interpoint Distances of Order q and Intrinsic Bias; 8 Estimation of Point Centred R ́enyi Dimensions with q 2; 9 Extrinsic Sources of Bias; 10 Applications of Dimension Estimation; 11 Earthquake Analyses; APPENDIX A Properties and Dimensions of Sets; APPENDIX B Large Deviations; References; Index. - Although multifractal measures are rooted in probability theory, much of the literature is found in physics and mathematics. Harte, a statistician and earthquake forecaster in New Zealand, pulls together ideas from multiple disciplines to place the material into a probabilistic and statistical context, using language familiar to statistical scienti
Emner
Sjanger
Dewey
ISBN
1584881542

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