Directional visible range in Poisson Boolean models is exponentially distributed on homogeneous harmonic manifolds because tube volumes around geodesics grow affinely linearly.
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2026 2verdicts
UNVERDICTED 2representative citing papers
At the critical intensity the second volume moment of the restricted hyperbolic Poisson zero cell diverges as R^3 while above criticality the unrestricted moment is finite and equals an explicit Meijer G-function expression.
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Visibility in the Boolean Model on Harmonic Manifolds
Directional visible range in Poisson Boolean models is exponentially distributed on homogeneous harmonic manifolds because tube volumes around geodesics grow affinely linearly.
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The volume of hyperbolic Poisson zero cells: critical divergence and exact second moment
At the critical intensity the second volume moment of the restricted hyperbolic Poisson zero cell diverges as R^3 while above criticality the unrestricted moment is finite and equals an explicit Meijer G-function expression.