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The birth of fractals
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The birth of fractals
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Views | Duration | ||
---|---|---|---|
51. Results of work in errors of transmission | 321 | 02:14 | |
52. Robert Stewart and a return to an interest in turbulence | 334 | 03:15 | |
53. The Hausdorff Dimension | 540 | 02:41 | |
54. The birth of fractals | 796 | 03:07 | |
55. Calculating the length of a coastline | 545 | 03:57 | |
56. The River Nile and Infinite Systems | 436 | 03:22 | |
57. Wild randomness and globality | 403 | 03:06 | |
58. Self-organised criticality | 365 | 01:43 | |
59. Measuring roughness | 333 | 03:02 | |
60. Working 'before the limit' | 319 | 03:32 |
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: The Hausdorff Dimension
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: 2 minutes, 42 seconds
Date story recorded: May 1998
Date story went live: 24 January 2008