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The theory of Fatou and Julia
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The theory of Fatou and Julia
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Views | Duration | ||
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71. Self-affining variability | 208 | 03:16 | |
72. Pathological shapes | 249 | 01:59 | |
73. Iteration; background to the work of Fatou and Julia | 243 | 05:14 | |
74. Fatou and Julia | 252 | 01:32 | |
75. The theory of Fatou and Julia | 238 | 04:09 | |
76. First reading of the work of Fatou and Julia | 209 | 02:23 | |
77. Return to iteration in 1977: Hadamard, Poincaré and... | 214 | 02:48 | |
78. Solving the problem of limit sets | 247 | 05:11 | |
79. Solving the problem of limit sets by using computers | 184 | 03:22 | |
80. Imitation of nature and creation of shapes | 223 | 03:03 |
Benoît Mandelbrot (1924-2010) discovered his ability to think about mathematics in images while working with the French Resistance during the Second World War, and is famous for his work on fractal geometry - the maths of the shapes found in nature.
Title: Fatou and Julia
Listeners: Daniel Zajdenweber Bernard Sapoval
Daniel Zajdenweber is a Professor at the College of Economics, University of Paris.
Bernard Sapoval is Research Director at C.N.R.S. Since 1983 his work has focused on the physics of fractals and irregular systems and structures and properties in general. The main themes are the fractal structure of diffusion fronts, the concept of percolation in a gradient, random walks in a probability gradient as a method to calculate the threshold of percolation in two dimensions, the concept of intercalation and invasion noise, observed, for example, in the absorbance of a liquid in a porous substance, prediction of the fractal dimension of certain corrosion figures, the possibility of increasing sharpness in fuzzy images by a numerical analysis using the concept of percolation in a gradient, calculation of the way a fractal model will respond to external stimulus and the correspondence between the electrochemical response of an irregular electrode and the absorbance of a membrane of the same geometry.
Duration: 1 minute, 33 seconds
Date story recorded: May 1998
Date story went live: 24 January 2008