volume 29, issue 2, P175-209 2003
DOI: 10.1007/s00454-002-2820-6
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## Abstract: ABSTRACTSubstitution Delone set families are families of Delone sets X = (X 1 , . . . , X n ) which satisfy the inflation functional equationin which A is an expanding matrix, i.e. all of the eigenvalues of A fall outside the unit circle. Here the D ij are finite sets of vectors in R d and denotes union that counts multiplicity.This paper characterizes families X = (X 1 , ..., X n ) that satisfy an inflation functional equation, in which each X i is a multiset (set with multiplicity) whose underlying set is d…

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