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Advances in Applied Probability· 2026Q2

Rare event probabilities in random geometric graphs

Prabhanka Deka, Fangzhou Luo, Bingcao Wu

Short summary

Probabilities of rare events (complete graph, atypically large number of edges) in high-dimensional spherical and Gaussian random geometric graphs decay exponentially with graph size (n) and dimension (d).

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Field: Mathematical Physics

Mathematical PhysicsMathematics