Mandelbrot, Benoit
Benoit Mandelbrot (1924 2011 ) : A Greek among Romans
... by Benoit Mandelbrot (Estrada ...of Mandelbrot cover a broad area of research fields, from meteorology and mathematical physics to individual and collec- tive behavior in society, besides his ...
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Benoit Mandelbrot (1924 2010): A Greek among Romans
... to Benoit Mandelbrot (1922-2010) have high- lighted its remarkable influence on the natural sciences, from geom- etry to meteorology, to theories with non-Euclidean spaces and geospa- tial models ...
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Benoit Mandelbrot 1924 2010: A Greek among Romans
... Benoit Mandelbrot. The promise was discovered by the geometry of Mandelbrot covers a broad area of research fields, from meteorology and mathematical physics to the individual and collective behavior ...
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New Fangled Mandelbrot and Julia Sets for Logarithmic Function
... forms. Benoit Mandelbrot (1924-2010), scientist and mathematician who also worked at IBM, is known as the father of fractal ...geometry. Mandelbrot coined the word fractal in the late 1970s. ...
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A brief history of long memory : Hurst, Mandelbrot and the road to ARFIMA, 1951–1980
... Rather than draw our own conclusions, we intended to illuminate the story of this fascinating area of science, and in particular the role played by Benoit Mandelbrot, who died in 2010. The facet of ...
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A Brief History of Long Memory: Hurst, Mandelbrot and the Road to ARFIMA
... We have attempted to demonstrate the original motivation behind long memory processes, and trace the early evolution of the concept. Debates over the nature of such processes, and their applicability or appropriateness ...
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Fixed point results in the generation of Julia and Mandelbrot sets
... , Benoit Mandelbrot extended the ideas of ...the Mandelbrot set by using the complex function z + c with using z as a complex function and c as a complex parameter ...of Mandelbrot and ...
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Construction of 3D Mandelbrot Set and Julia Set
... objects. Benoit Mandelbrot, the father of fractal geometry, from his book The Fractal Geometry of Nature, ...images- Mandelbrot set and Julia set using 3D iterated function system which gives real ...
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New Mandelbrot and Julia Sets for Transcendental Function
... the Mandelbrot sets are two most important images under various researches in the field of fractal theory ...the Mandelbrot set was given by Benoit B. Mandelbrot [2] in ...
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Simulation of a Tornadoes as a Particular Case of an Attractor repeller Pairs
... the words of Niels Bohr. Current studies on tornadoes focus on a physical model. As a mathematician I seek guidelines on the nature, which can lead to physical laws. Observing natural phenomena we can deduce that the ...
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A Multifractal Model of Asset Returns
... In fact this proof contains additional information on multifractal processes. Assuming that relation (7) holds for t ∈ [0, ∞ ), we divide inequality (8) by ln t > 0 and let t go to infinity. We obtain the reverse of ...
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Zipf–Mandelbrot law, f divergences and the Jensen type interpolating inequalities
... Let us provide the accompanied results of this type for some special cases of f - divergences, starting with the Kullback–Leibler divergence (10). Again, we firstly observe the more general case in which only one of two N ...
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The Generalized Mandelbrot–Julia Set Form a Class of Complex Cosine Map
... The dynamics of transcendental function is one of emerging and interesting field of research nowadays. In this paper we have constructed a series of generalized Mandelbrot and Julia set from cosine function using ...
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Multiband and Compact Fractal Antenna for Wireless Communication
... examined." Mandelbrot offered the following definition: "A fractal is a shape made of parts similar to the whole in some way" Fractal antennas are based on the concept of a fractal, which is a ...
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The Assouad spectrum and the quasi Assouad dimension : a tale of two spectra
... are Mandelbrot and fractal percolation (on self-similar sets): the Assouad dimension is almost surely the dimension of the percolated set (which is as big as possible), see [FMT, T], whereas the quasi-Assouad ...
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Variation of Vacuum Energy if Scale Factor Becomes Infinitely Small, with Fixed Entropy Due to a Non Pathological Big Bang Singularity Accessible to Modified Einstein Equations
... the Mandelbrot set, that he, the author is happily corrected, but he also thinks that the Mandel- brot set is a beautiful example of the fungability of space- time metrics used, ...a Mandelbrot set, in its ...
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Limit Treatment of Space Time Foam Calculations If Non Pathological Big Bang Singularity Is Accessible to Modified Einstein Equations
... the Mandelbrot set, that he, the author is happily corrected, but he also thinks that the Mandelbrot set is a beautiful example of the fungability of space-time metrics ...a Mandelbrot set, in its ...
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Investigation of the Quaternion Dynamical System
... The quaternion Mandelbrot set is one of the most important sets in mathe- matics. In this paper we first give some properties of the quaternion algebra. Then, we introduce the quternion dynamical system. We are ...
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Large Deviations and the Distribution of Price Changes
... The Multifractal Model of Asset Returns (“MMAR”, See Mandelbrot, Fisher, and Cal- vet, 1997) proposes a class of multifractal processes for the modelling of financial returns. In that paper, multifractal processes ...
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Multifractal Ex Rates
... This paper presents the first empirical investigation of the Multifractal Model of Asset Returns (“MMAR”). The MMAR, developed in Mandelbrot, Fisher, and Calvet (1997), is an alternative to ARCH-type ...
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