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Coordination Sequences and Critical Points

Michael Baake·Uwe Grimm·Przemyslaw Repetowicz·Dieter Joseph
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Abstract

Coordination sequences of periodic and quasiperiodic graphs are analysed. These count the number of points that can be reached from a given point of the graph by a number of steps along its bonds, thus generalising the familiar coordination number which is just the first member of this series. A possible application to the theory of critical phenomena in lattice models is outlined.

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Michael Baake, Uwe Grimm, Przemyslaw Repetowicz, Dieter Joseph. 1998-09-09. Coordination Sequences and Critical Points. https://arxiv.org/abs/cond-mat/9809110

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