This paper deals with the topological-metric structure of a network made by a family of self-similar hierarchical regular lattices. We derive the basic properties and give a suitable definition of self-similarity on lattices. This concept of self-similarity is shown on some classical (omothety) and more recent models (Sierpinski tesselations and Husimi cacti). Both the metric and the geometric properties of the lattice will be intrinsically defined.

Self-Similar Hierarchical Regular Lattices

CATTANI, Carlo;LASERRA, Ettore
2010-01-01

Abstract

This paper deals with the topological-metric structure of a network made by a family of self-similar hierarchical regular lattices. We derive the basic properties and give a suitable definition of self-similarity on lattices. This concept of self-similarity is shown on some classical (omothety) and more recent models (Sierpinski tesselations and Husimi cacti). Both the metric and the geometric properties of the lattice will be intrinsically defined.
2010
9783642121647
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3017086
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