Sixty years of fractal projections
Abstract
Sixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff dimension of a plane set to the dimensions of its orthogonal projections onto lines. For many years, the paper attracted very little attention. However, over the past 30 years, Marstrand’s projection theorems have become the prototype for many results in fractal geometry with numerous variants and applications and they continue to motivate leading research.
Citation
Falconer , K J , Fraser , J M & Jin , X 2015 , Sixty years of fractal projections . in C Bandt , K J Falconer & M Zähle (eds) , Fractal Geometry and Stochastics V . Progress in Probability , vol. 70 , Birkhauser , Basel , pp. 3-25 , Fractal Geometry and Stochastics V , Tabarz , Germany , 24/03/14 . https://doi.org/10.1007/978-3-319-18660-3 , https://doi.org/10.1007/978-3-319-18660-3_1 conference
Publication
Fractal Geometry and Stochastics V
ISSN
1050-6977Type
Book item
Rights
Copyright Springer International Publishing Switzerland 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-18660-3_1
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