Symbol functions for symmetric frameworks

Kastis, Eleftherios and Kitson, Derek and McCarthy, John (2021) Symbol functions for symmetric frameworks. Journal of Mathematical Analysis and Applications, 497 (2): 124895. ISSN 0022-247X

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Abstract

We prove a variant of the well-known result that intertwiners for the bilateral shift on l²(Z) are unitarily equivalent to multiplication operators on L²(T). This enables us to unify and extend fundamental aspects of rigidity theory for bar-joint frameworks with an abelian symmetry group. In particular, we formulate the symbol function for a wide class of frameworks and show how to construct generalised rigid unit modes in a variety of new contexts.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Mathematical Analysis and Applications
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2607
Subjects:
?? discrete mathematics and combinatoricsanalysisapplied mathematics ??
ID Code:
150171
Deposited By:
Deposited On:
04 Jan 2021 11:45
Refereed?:
Yes
Published?:
Published
Last Modified:
28 Aug 2024 23:53