JournalsrmiVol. 29, No. 2pp. 381–432

The effect of projections on dimension in the Heisenberg group

  • Zoltán M. Balogh

    Universität Bern, Switzerland

  • Estibalitz Durand-Cartagena

    UNED, Madrid, Spain

  • Katrin Fässler

    University of Helsinki, Finland

  • Pertti Mattila

    University of Helsinki, Finland

  • Jeremy T. Tyson

    University of Illinois, Urbana, USA
The effect of projections on dimension in the Heisenberg group cover
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Abstract

We prove analogs of classical almost sure dimension theorems for Euclidean projection mappings in the first Heisenberg group, equipped with a sub-Riemannian metric.

Cite this article

Zoltán M. Balogh, Estibalitz Durand-Cartagena, Katrin Fässler, Pertti Mattila, Jeremy T. Tyson, The effect of projections on dimension in the Heisenberg group. Rev. Mat. Iberoam. 29 (2013), no. 2, pp. 381–432

DOI 10.4171/RMI/725