The local optimality of the double lattice packing

Yoav Kallus; Wöden Kusner

doi:10.1007/s00454-016-9792-4

The local optimality of the double lattice packing

Yoav Kallus, Wöden Kusner

Institute of Analysis and Number Theory (5010)

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

Abstract

This paper introduces a technique for proving the local optimality of packing configurations. Applying this technique to a general convex polygon, we prove that the construction of the optimal double lattice packing by Kuperberg and Kuperberg is also locally optimal in the full space of packings.

Original language	English
Pages (from-to)	449 - 471
Journal	Discrete & Computational Geometry
Volume	56
Issue number	2
DOIs	https://doi.org/10.1007/s00454-016-9792-4
Publication status	Published - 2016

Keywords

math.MG
52C15 52C17 11H31 52B55 05B40

ASJC Scopus subject areas

Mathematics(all)
Geometry and Topology

Treatment code (Nähere Zuordnung)

Theoretical

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10.1007/s00454-016-9792-4

ICERM: Phase Transitions and Emergent Properties
Woden Barnard Kusner (Participant)
2 Feb 2015 → 8 May 2015
Activity: Participation in or organisation of › Workshop, seminar or course (Participation in/Organisation of)

Cite this

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The local optimality of the double lattice packing

Abstract

Keywords

ASJC Scopus subject areas

Treatment code (Nähere Zuordnung)

Access to Document

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Activities

ICERM: Phase Transitions and Emergent Properties

Cite this