Projections of mandelbrot percolation in higher dimensions

K. Simon, Lajos Vágó

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

We consider the fractal percolations which are one of the most well-studied examples of random Cantor sets. Rams and Simon studied the projections of fractal percolation sets on the plane. We extend the scope of their theorem and generalize it to higher dimensions. An extended version of this note is avaible on the arxiv [7].

Original languageEnglish
Title of host publicationFractals, Wavelets and their Applications - Contributions from the International Conference and Workshop on Fractals and Wavelets
PublisherSpringer New York LLC
Pages175-190
Number of pages16
Volume92
ISBN (Print)9783319081045
DOIs
Publication statusPublished - 2014
Event1st International Conference and Workshop on Fractals and Wavelets, ICFW India - Kochi, India
Duration: Nov 13 2013Nov 16 2013

Other

Other1st International Conference and Workshop on Fractals and Wavelets, ICFW India
CountryIndia
CityKochi
Period11/13/1311/16/13

Fingerprint

Higher Dimensions
Fractal
Projection
Random Sets
Cantor set
Generalise
Theorem

Keywords

  • Fractal percolation
  • Mandelbrot percolation
  • Projection of fractal sets
  • Random cantor sets

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Simon, K., & Vágó, L. (2014). Projections of mandelbrot percolation in higher dimensions. In Fractals, Wavelets and their Applications - Contributions from the International Conference and Workshop on Fractals and Wavelets (Vol. 92, pp. 175-190). Springer New York LLC. https://doi.org/10.1007/978-3-319-08105-2__11

Projections of mandelbrot percolation in higher dimensions. / Simon, K.; Vágó, Lajos.

Fractals, Wavelets and their Applications - Contributions from the International Conference and Workshop on Fractals and Wavelets. Vol. 92 Springer New York LLC, 2014. p. 175-190.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Simon, K & Vágó, L 2014, Projections of mandelbrot percolation in higher dimensions. in Fractals, Wavelets and their Applications - Contributions from the International Conference and Workshop on Fractals and Wavelets. vol. 92, Springer New York LLC, pp. 175-190, 1st International Conference and Workshop on Fractals and Wavelets, ICFW India, Kochi, India, 11/13/13. https://doi.org/10.1007/978-3-319-08105-2__11
Simon K, Vágó L. Projections of mandelbrot percolation in higher dimensions. In Fractals, Wavelets and their Applications - Contributions from the International Conference and Workshop on Fractals and Wavelets. Vol. 92. Springer New York LLC. 2014. p. 175-190 https://doi.org/10.1007/978-3-319-08105-2__11
Simon, K. ; Vágó, Lajos. / Projections of mandelbrot percolation in higher dimensions. Fractals, Wavelets and their Applications - Contributions from the International Conference and Workshop on Fractals and Wavelets. Vol. 92 Springer New York LLC, 2014. pp. 175-190
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