Sixty Years of Fractal Projections
Metric Geometry
2014-11-13 v1
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.
Keywords
Cite
@article{arxiv.1411.3156,
title = {Sixty Years of Fractal Projections},
author = {Kenneth Falconer and Jonathan Fraser and Xiong Jin},
journal= {arXiv preprint arXiv:1411.3156},
year = {2014}
}
Comments
Submitted to proceedings of Fractals and Stochastics V