The effect of projections on dimension in the Heisenberg group

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)381-432
Number of pages52
JournalRevista Matematica Iberoamericana
Volume29
Issue number2
DOIs
StatePublished - 2013

Keywords

  • Energy integrals
  • Hausdorff dimension
  • Heisenberg group
  • Projection theorems

ASJC Scopus subject areas

  • Mathematics(all)

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