Parking garages with optimal dynamics

Meital Cohen; Barak Weiss

doi:10.1007/s10711-012-9699-z

Parking garages with optimal dynamics

Meital Cohen, Barak Weiss

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	157-167
Number of pages	11
Journal	Geometriae Dedicata
Volume	161
Issue number	1
DOIs	https://doi.org/10.1007/s10711-012-9699-z
State	Published - 1 Dec 2012

Keywords

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

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s10711-012-9699-z

Cite this

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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.",

keywords = "Active vitamin D, Billiards, Parathyroid hormone-related peptide, Parking garages, Translation surfaces, Veech dichotomy",

author = "Meital Cohen and Barak Weiss",

note = "Funding Information: Acknowledgments We are grateful to Yitwah Cheung and Patrick Hooper for helpful discussions, and to the referee for a careful reading and helpful remarks which improved the presentation. This research was supported by the Israel Science Foundation and the Binational Science Foundation.",

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AU - Weiss, Barak

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PY - 2012/12/1

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N2 - 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.

AB - 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.

KW - Active vitamin D

KW - Billiards

KW - Parathyroid hormone-related peptide

KW - Parking garages

KW - Translation surfaces

KW - Veech dichotomy

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DO - 10.1007/s10711-012-9699-z

M3 - مقالة

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VL - 161

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EP - 167

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Parking garages with optimal dynamics

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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