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Fractal Geometry and Stochastics IVRandom Cantor Sets and Their Projections

Fractal Geometry and Stochastics IV: Random Cantor Sets and Their Projections [We discuss two types of random Cantor sets, M-adic random Cantor sets, and Larsson’s random Cantor sets. We will discuss the properties of their ninety and fortyfive degree projections, and for both we give answers to the question whether the algebraic difference of two independent copies of such sets will contain an interval or not.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fractal Geometry and Stochastics IVRandom Cantor Sets and Their Projections

Part of the Progress in Probability Book Series (volume 61)
Editors: Bandt, Christoph; Zähle, Martina; Mörters, Peter

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References (21)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2009
ISBN
978-3-0346-0029-3
Pages
269 –284
DOI
10.1007/978-3-0346-0030-9_10
Publisher site
See Chapter on Publisher Site

Abstract

[We discuss two types of random Cantor sets, M-adic random Cantor sets, and Larsson’s random Cantor sets. We will discuss the properties of their ninety and fortyfive degree projections, and for both we give answers to the question whether the algebraic difference of two independent copies of such sets will contain an interval or not.]

Published: Dec 30, 2009

Keywords: Primary 28A80; Secondary 60J80; 60J85; Random fractals; difference of Cantor sets; Palis-Takens conjecture; multitype branching processes

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