rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Multifractals and 1/f Noise
    sub title: wild self-affinity in physics (1963?1976)
    part number: Selecta volume N
  name:
    name part: Mandelbrot, Benoit B.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (VIII, 442p. 50 illustrations)
  abstract: 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.
  table of contents: 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.
  note: by Benoit B. Mandelbrot.
  note: Includes bibliographical references and index.
  subject:
    topic: Multifractals
  subject:
    topic: Electronic noise
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Electronic noise
  subject:
    topic: Multifractals
  classification: QA614.86
  classification: 514/.742
  identifier: 9781461221500
  identifier: 9781461274346
  identifier: 1461221501
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140924
    record change date: 20260422165400.7
    record identifier: in00003539647
    language of cataloging:
      language term: eng