The effect of projections on dimension in the Heisenberg group
Zoltán M. Balogh
Universität Bern, SwitzerlandEstibalitz Durand-Cartagena
UNED, Madrid, SpainKatrin Fässler
University of Helsinki, FinlandPertti Mattila
University of Helsinki, FinlandJeremy T. Tyson
University of Illinois, Urbana, USA
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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