Self-Similar Measures

Christoph Bandt ()
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Christoph Bandt: Arndt-Universität, Institut für Mathematik und Informatik

A chapter in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 2001, pp 31-46 from Springer

Abstract: Abstract After an introduction to self-similar deterministic and random measures, we introduce an algorithm which decides on the separation condition for given similarity mappings defining a self-similar set. We construct some new types of Sierpinski gasket and determine their exponent of interior distance.

Keywords: Random Measure; Hausdorff Measure; Sierpinski Gasket; Reversed Version; Sixth Root (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56589-2_2

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DOI: 10.1007/978-3-642-56589-2_2

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