The authors prove existence and rigidity of infinite ideal polyhedra via a uniformization theorem for embedded ideal circle patterns whose type depends on both cellular structure and intersection angles.
Harmonic functions and potentials on finite or infinite networks, volume 12 ofLecture Notes of the Unione Matematica Italiana
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Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
The authors prove existence and rigidity of infinite ideal polyhedra via a uniformization theorem for embedded ideal circle patterns whose type depends on both cellular structure and intersection angles.