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Author

Lukas Lüchtrath

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Preprint Aug 2026

Recurrence of strong-decay inhomogeneous long-range percolation clusters

We prove recurrence criteria for inhomogeneous long-range percolation in dimensions one and two. In dimension one, recurrence follows from a purely geometric scarcity condition: long edges eventually disappear on exponential scales. This applies to weight-dependent random connection models and related one-dimensional s...

Johannes Bäumler, Lukas Lüchtrath, C. Mönch · 0 citations

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