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20152023
most citedWARM percolation on a regular tree in the strong reinforcement regime

4 citations · 8 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.PR2023

Large deviations for the isoperimetric constant in 2D percolation

Christian Hirsch, Kyeongsik Nam

Isoperimetric profile describes the minimal boundary size of a set with a prescribed volume. Itai Benjamini conjectured that the isoperimetric profile of the giant component in sup…

math.PR2023

Lower large deviations for geometric functionals in sparse, critical and dense regimes

Christian Hirsch, Daniel Willhalm

We prove lower large deviations for geometric functionals in sparse, critical and dense regimes. Our results are tailored for functionals with nonexisting exponential moments, for…

math.PR2023★ 1 cited

Large deviations for hyperbolic -nearest neighbor balls

Christian Hirsch, Moritz Otto, Takashi Owada +1

We prove a large deviation principle for the point process of large Poisson -nearest neighbor balls in hyperbolic space. More precisely, we consider a stationary Poisson point p…