عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461221500
(Number (ISBN
9781461274346
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402872
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Multifractals and 1/{hookl}f Noise
General Material Designation
[Book]
Other Title Information
Wild Self-Affinity in Physics (1963-1976) /
First Statement of Responsibility
by Benoit B. Mandelbrot.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1999.
CONTENTS NOTE
Text of Note
Preface -- Panorama of grid-bound self affine variablity -- Sketches of prehistory and history -- Scaling, invariants and fixed points -- Filtering and specifications of self-affinity -- Short pieces -- New model for error clustering on telephone circuits -- Additional tests on clustering -- Self-similarity and conditional stationarity -- 1/f noises and the infrared catastrophe -- Co-indicator functions and related 1/f noises -- Sporadic random functions and conditional spectra: Self-similar examples and limits -- Random sets of multiplicity for trigonometric series -- Sporadic turbulence -- Intermittent free turbulence -- Lognormal hypothesis and distribution of energy dissipation in intermittent turbulence -- Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier -- Iterated random multiplications and invariance under randomly weighted averaging -- 'On certain martingales of Benoit Mandelbrot' -- Intermittent turbulence and fractal dimension: the kurtosis and the spectral exponent 5 3 + B -- Fractal dimension, dispersion, and singularities of fluid motion -- Elementary fractals and multifractals -- Bibliography -- Index.
0
SUMMARY OR ABSTRACT
Text of Note
Certain noises, many aspects of turbulence, and almost all aspects of finance exhibit a level of temporal and spatial variability whose "wildness" impressed itself vividly upon the author, Benoit Mandelbrot, in the early 1960's. He soon realized that those phenomena cannot be described by simply adapting the statistical techniques of earlier physics, or even extending those techniques slightly. It appeared that the study of finance and turbulence could not move forward without the recognition that those phenomena represented a new second stage of indeterminism. Altogether new mathematical tools were needed. The papers in this Selecta volume reflect that realization and the work that Dr. Mandelbrot did toward the development of those new tools.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781461274346
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Mathematics.
Topology.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Mandelbrot, Benoit B.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307160000.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
