Sixty years of fractal projections
MetadataShow full item record
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.
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 . DOI: 10.1007/978-3-319-18660-3 , 10.1007/978-3-319-18660-3_1conference
Fractal Geometry and Stochastics V
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
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.