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Poisson approximation of large-lifetime cycles

math.PR · 2024-12-23 · conditional · novelty 7.0

Large-lifetime persistence cycles in Poisson point clouds converge to Poisson point processes, jointly for centers, lifetimes, and deathtimes, in a sparse regime for dimensions d≥2.

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  • Poisson approximation of large-lifetime cycles math.PR · 2024-12-23 · conditional · none · ref 5

    Large-lifetime persistence cycles in Poisson point clouds converge to Poisson point processes, jointly for centers, lifetimes, and deathtimes, in a sparse regime for dimensions d≥2.