MathDBBenjamini–Schramm monotonicity conjecture for hyperbolic Poisson-Voronoi percolation
Benjamini–Schramm monotonicity conjecture for hyperbolic Poisson-Voronoi percolation
Let denote the critical value for Poisson-Voronoi percolation on the hyperbolic plane as a function of the intensity . Benjamini–Schramm monotonicity conjecture.
is strictly increasing. This conjecture is attributed to Benjamini and Schramm and is reiterated as a natural question for the model.
Sources & referencesView supporting material
Primary source
Benjamin T. Hansen and Tobias Müller, “Poisson-Voronoi percolation in the hyperbolic plane with small intensities”, arXiv:2111.04299 (2023).
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