Titre : |
Multifractals and 1/f noise : wild self-affinity in physics, 1963-1976 |
Type de document : |
texte imprimé |
Auteurs : |
Benoît B. Mandelbrot, Auteur ; Jean Berger, Collaborateur ; Jean-Pierre Kahane, Collaborateur |
Editeur : |
Berlin ; London ; Cham : Springer |
Année de publication : |
1999 |
Importance : |
VIII-442 p. |
Présentation : |
ill. |
Format : |
25 cm |
ISBN/ISSN/EAN : |
978-0-387-98539-8 |
Note générale : |
Sélection de travaux de Benoit B. Mandelbrot, réimprimés, traduits, avec pour certains des annotations et des contributions de ses collègues de The fractal geometry of nature. - Selecta volumen N
Bibliogr. Index |
Langues : |
Anglais (eng) |
Mots-clés : |
Modèles mathématiques
Systèmes, Théorie des
Electronic noise
Multifractals
Fractales
Bruit électronique |
Index. décimale : |
514.7 Géométrie différentielle. Méthodes algébriques et analytiques en géométrie |
Résumé : |
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 tool |
Note de contenu : |
- Introductions and Short Pieces
- Unifractal Errors and Levy Dusts
- Intermittent 1/f Noises and Conditioned Random Processes
- Turbulence and Multifractal Measures
- Background |
Multifractals and 1/f noise : wild self-affinity in physics, 1963-1976 [texte imprimé] / Benoît B. Mandelbrot, Auteur ; Jean Berger, Collaborateur ; Jean-Pierre Kahane, Collaborateur . - Berlin ; London ; Cham : Springer, 1999 . - VIII-442 p. : ill. ; 25 cm. ISBN : 978-0-387-98539-8 Sélection de travaux de Benoit B. Mandelbrot, réimprimés, traduits, avec pour certains des annotations et des contributions de ses collègues de The fractal geometry of nature. - Selecta volumen N
Bibliogr. Index Langues : Anglais ( eng)
Mots-clés : |
Modèles mathématiques
Systèmes, Théorie des
Electronic noise
Multifractals
Fractales
Bruit électronique |
Index. décimale : |
514.7 Géométrie différentielle. Méthodes algébriques et analytiques en géométrie |
Résumé : |
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 tool |
Note de contenu : |
- Introductions and Short Pieces
- Unifractal Errors and Levy Dusts
- Intermittent 1/f Noises and Conditioned Random Processes
- Turbulence and Multifractal Measures
- Background |
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