Projections of self-similar and related fractals: a survey of recent developments.(English)Zbl 1338.28004
Bandt, Christoph (ed.) et al., Fractal geometry and stochastics V. Selected papers of the 5th conference, Tabarz, Germany, March 24–29, 2014. Cham: Springer (ISBN 978-3-319-18659-7/hbk; 978-3-319-18660-3/ebook). Progress in Probability 70, 53-74 (2015).
Summary: In recent years there has been much interest – and progress – in understanding projections of many concrete fractals sets and measures. The general goal is to be able to go beyond general results such as Marstrand’s Theorem, and quantify the size ofevery projection – or at least every projection outside some very small set. This article surveys some of these results and the techniques that were developed to obtain them, focusing on linear projections of planar self-similar sets and measures.
For the entire collection see [Zbl 1321.28002].
For the entire collection see [Zbl 1321.28002].
Cite
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