Benoit B Mandelbrot
Biographic Data
| ID | 1030779 |
|---|---|
| NAME | Benoit B Mandelbrot |
| GIVEN NAMES | Benoit B |
| FAMILY NAME | Mandelbrot |
| SIGNATURE | MANDELBROT B B |
| AFFILIATIONS | IBM (United States) |
| VERIFIED | No |
| TOTAL WORKS | 18 |
| TOTAL CITATIONS | 24 |
| WORKS AS AUTHOR | 18 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 1954 |
| LATEST PUBLICATION YEAR | 2014 |
| H-INDEX | 2 |
Self-Organization and Dissipative Structures
Algunas cuestiones de teoría de la observación en el contexto de las modernas teorías de la inferencia estadística (Presentación y traducción de A. Javier Izquierdo)
Algunas cuestiones de teora de la observacinen el contexto de las modernas
Towards a Second Stage of Indeterminism in Science
An invited address in 1964 constitutes the pre-history of fractals, and a justification is given here why its publication is now of interest because of its interdisciplinary nature. Fractal geometry has been successful as mathematics and has – through computer graphics – pioneered a new art. But until 1975, the author's work was generally considered as premature. In the original address of 1964, which here follows the historical introduction, the…
The Fractal Geometry of Nature
First Page
Les fractales, les monstres et la beauté
The Many Faces of Scaling
Scalebound or Scaling Shapes
October 01 2007 Scalebound or Scaling Shapes: A Useful Distinction in the Visual Arts and in the Natural Sciences Benoit B. Mandelbrot Benoit B. Mandelbrot * Mathematician, P.O. Box 218, Yorktown Heights, NY 10598, U.S.A. Search for other works by this author on: This Site Google Scholar Author and Article Information Benoit B. Mandelbrot * Mathematician, P.O. Box 218, Yorktown Heights, NY 10598, U.S.A. Online ISSN: 1530-9282 Print ISSN: 0024-094…
Fractals
Tests of the Degree of Word Clustering in Samples of Written English
Linear Regression With Non-Normal Error Terms
When Can Price be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models
Benoit B. Mandelbrot, When Can Price be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models, The Review of Economics and Statistics, Vol. 53, No. 3 (Aug., 1971), pp. 225-236
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension
Geographical curves are so involved in their detail that their lengths are often infinite or, rather, undefinable. However, many are statistically "self-similar," meaning that each portion can be considered a reduced-scale image of the whole. In that case, the degree of complication can be described by a quantity D that has many properties of a "dimension," though it is fractional; that is, it exceeds the value unity associated with the ordinary,…
The Variation of Certain Speculative Prices
The purpose of this chapter is to present and test a new model of price behavior in speculative markets. The principal feature of this model is that starting from the Bachelier process as applied to InZ(t) instead of Z(t), the Gaussian distribution is replaced throughout by another family of probability laws to be referred to as stable Paretian. In a somewhat complex way, the Gaussian is a limiting case of this new family, so the new model propos…
New Methods in Statistical Economics
Post scriptum to “final note”
Information sans Interpretation dans la Description des Langues Reelles
Addenda A L'Article “Structure Formelle des Textes et Communication”
Addenda A L'Article “Structure Formelle des Textes et Communication”." WORD, 11(3), pp. 424–425
Structure Formelle des Textes et Communication
SommaireIntroduction, p. 1. Sur le caractère discret des signes linguistiques, p. 3. Sur les mots comme unités concrètes de tout texte (Généralisation et explication de la loi statistique d'Estoup et de Zipf), p. 9. Bibliographie, p. 26. Les renvois à la bibliographie comportent le nom de l'auteur et la date du travail cité. English summary, p. 27.English SummaryFrom the experience that one has of speech organs, it could seem that it follows that…
New Methods in Statistical Economics
Structure Formelle des Textes et Communication
SommaireIntroduction, p. 1. Sur le caractère discret des signes linguistiques, p. 3. Sur les mots comme unités concrètes de tout texte (Généralisation et explication de la loi statistique d'Estoup et de Zipf), p. 9. Bibliographie, p. 26. Les renvois à la bibliographie comportent le nom de l'auteur et la date du travail cité. English summary, p. 27.English SummaryFrom the experience that one has of speech organs, it could seem that it follows that…
Les fractales, les monstres et la beauté
Structure Formelle des Textes et Communication
SommaireIntroduction, p. 1. Sur le caractère discret des signes linguistiques, p. 3. Sur les mots comme unités concrètes de tout texte (Généralisation et explication de la loi statistique d'Estoup et de Zipf), p. 9. Bibliographie, p. 26. Les renvois à la bibliographie comportent le nom de l'auteur et la date du travail cité. English summary, p. 27.English SummaryFrom the experience that one has of speech organs, it could seem that it follows that…
Addenda A L'Article “Structure Formelle des Textes et Communication”
Addenda A L'Article “Structure Formelle des Textes et Communication”." WORD, 11(3), pp. 424–425
Information sans Interpretation dans la Description des Langues Reelles
Post scriptum to “final note”
The Variation of Certain Speculative Prices
The purpose of this chapter is to present and test a new model of price behavior in speculative markets. The principal feature of this model is that starting from the Bachelier process as applied to InZ(t) instead of Z(t), the Gaussian distribution is replaced throughout by another family of probability laws to be referred to as stable Paretian. In a somewhat complex way, the Gaussian is a limiting case of this new family, so the new model propos…
New Methods in Statistical Economics
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension
Geographical curves are so involved in their detail that their lengths are often infinite or, rather, undefinable. However, many are statistically "self-similar," meaning that each portion can be considered a reduced-scale image of the whole. In that case, the degree of complication can be described by a quantity D that has many properties of a "dimension," though it is fractional; that is, it exceeds the value unity associated with the ordinary,…
Linear Regression With Non-Normal Error Terms
When Can Price be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models
Benoit B. Mandelbrot, When Can Price be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models, The Review of Economics and Statistics, Vol. 53, No. 3 (Aug., 1971), pp. 225-236
Tests of the Degree of Word Clustering in Samples of Written English
Fractals
Scalebound or Scaling Shapes
October 01 2007 Scalebound or Scaling Shapes: A Useful Distinction in the Visual Arts and in the Natural Sciences Benoit B. Mandelbrot Benoit B. Mandelbrot * Mathematician, P.O. Box 218, Yorktown Heights, NY 10598, U.S.A. Search for other works by this author on: This Site Google Scholar Author and Article Information Benoit B. Mandelbrot * Mathematician, P.O. Box 218, Yorktown Heights, NY 10598, U.S.A. Online ISSN: 1530-9282 Print ISSN: 0024-094…
The Many Faces of Scaling
The Fractal Geometry of Nature
First Page
Les fractales, les monstres et la beauté
Towards a Second Stage of Indeterminism in Science
An invited address in 1964 constitutes the pre-history of fractals, and a justification is given here why its publication is now of interest because of its interdisciplinary nature. Fractal geometry has been successful as mathematics and has – through computer graphics – pioneered a new art. But until 1975, the author's work was generally considered as premature. In the original address of 1964, which here follows the historical introduction, the…
Algunas cuestiones de teoría de la observación en el contexto de las modernas teorías de la inferencia estadística (Presentación y traducción de A. Javier Izquierdo)
Algunas cuestiones de teora de la observacinen el contexto de las modernas
Self-Organization and Dissipative Structures
Philosophy (10 works) · Mathematics (8 works) · Physics (7 works) · Complex Systems and Time Series Analysis (6 works) · Computer Science (6 works) · Mathematical analysis (5 works) · Econometrics (4 works) · Economics (4 works) · Epistemology (4 works) · Fractal (4 works)