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The Fractal Character of Localizable Measure-Valued Processes, III. Fractal Carrying Sets of Branching Diffusions

✍ Scribed by U. Zähle

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
692 KB
Volume
138
Category
Article
ISSN
0025-584X

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✦ Synopsis

Regard a large population of infinitesimal particles (i.e. measures) in the case, when the particles evolve (i.e. move, branch, die) independently of each other. Those evolutions we callcd localizable. In the present part of this paper we study branching diffusion processes, which result from high frequent alternations of pure macroscopic motion and a pure branching mechanism. The main aim is to compute the HAUSDORFF-BESICOVITCH dimension of random sets carrying the population.

📜 SIMILAR VOLUMES

The Fractal Character of Localizable Mea
The Fractal Character of Localizable Measure-Valued Processes. I — Random Measures on Product Spaces
✍ U. Zähle 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 386 KB

In part II the evolation of large popnfationa of infinitesimal particles is stadied, in which one can follow the path of m y particle snfviviag up to bime t. To construct the diatribution of the totality of these pathsthe so-called backward tree -, we need a general extension theorem for random meas