The Hyperbolic Plane and Hyperbolic Graphs
The aim of this section is to give a very short introduction to planar hyperbolic geometry. Some good references for parts of this section are [CFKP97] and [ABC+91]. We first discuss the hyperbolic plane. Nets in the hyperbolic plane are concrete examples of the more general hyperbolic graphs. Hyperbolicity is reflected in the behaviour of random walks [Anc88] and percolation as we will see in Chap. 7.
KeywordsSymmetric Space Hyperbolic Space Cayley Graph Hyperbolic Plane Hyperbolic Geometry
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