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Parking garages with optimal dynamics

  • Meital Cohen
  • , Barak Weiss*
  • *Corresponding author for this work
  • Ben-Gurion University of the Negev

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We construct generalized polygons ('parking garages') in which the billiard flow satisfies the Veech dichotomy, although the associated translation surface obtained from the Zemlyakov-Katok unfolding is not a lattice surface. We also explain the difficulties in constructing a genuine polygon with these properties.

Original languageEnglish
Pages (from-to)157-167
Number of pages11
JournalGeometriae Dedicata
Volume161
Issue number1
DOIs
StatePublished - Dec 2012
Externally publishedYes

Funding

Funders
United States-Israel Binational Science Foundation

    Keywords

    • Active vitamin D
    • Billiards
    • Parathyroid hormone-related peptide
    • Parking garages
    • Translation surfaces
    • Veech dichotomy

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