论文信息 - Rectifiable and fractal sets

Rectifiable and fractal sets

The main topics investigated are the following: rectifiability, length, Hausdorff and packing measures and dimensions, local densities, dimensional regularity of sets, index of proximity, set independance, Minkowski-Bouligand dimension, algorithms of computation.

Claude Tricot | C. Tricot

[1] P. Billingsley,et al. Ergodic theory and information , 1966 .

[2] H. Burkill,et al. A second course in mathematical analysis , 1970 .

[3] H. Steinhaus. Length, shape and area , 1954 .

[4] L. Santaló. Integral geometry and geometric probability , 1976 .

[5] C. Tricot,et al. Packing regularity of sets in n-space , 1988, Mathematical Proceedings of the Cambridge Philosophical Society.

[6] C. Tricot. Two definitions of fractional dimension , 1982, Mathematical Proceedings of the Cambridge Philosophical Society.

[7] C. Roques-Carmes,et al. Evaluation de la dimension fractale d'un graphe , 1988 .

[8] John Hawkes,et al. Hausdorff Measure, Entropy, and the Independence of Small Sets , 1974 .

[9] C. Tricot. Dimension fractale et spectre , 1988 .

[10] C. Tricot,et al. Packing measure, and its evaluation for a Brownian path , 1985 .

[11] R. Davies. Subsets of finite measure in analytic sets , 1952 .