The effect of projections on dimension  in the Heisenberg group

Zoltán M. Balogh; Estibalitz Durand-Cartagena; Katrin Fässler; Pertti Mattila; Jeremy T. Tyson

doi:10.4171/rmi/725

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
- MathSciNet
- zbMATH Open
Katrin Fässler
University of Helsinki, Finland
Pertti Mattila
University of Helsinki, Finland
- MathSciNet
- zbMATH Open
Jeremy T. Tyson
University of Illinois, Urbana, USA
- MathSciNet
- zbMATH Open

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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