Proves existence, rigidity, and uniformization for infinite regular circle patterns with 0≤Θ<π and for infinite trivalent hyperbolic polyhedra.
Georgakopoulos,The boundary of a square tiling of a graph coincides with the Poisson boundary
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Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space
Proves existence, rigidity, and uniformization for infinite regular circle patterns with 0≤Θ<π and for infinite trivalent hyperbolic polyhedra.