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math.PR2021
Poisson process approximation under stabilization and Palm coupling
Omer Bobrowski, Matthias Schulte, D. Yogeshwaran
We present new Poisson process approximation results for stabilizing functionals of Poisson and binomial point processes. These functionals are allowed to have an unbounded range o…
math.PR2021★ 5 cited
Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees
Günter Last, Giovanni Peccati, D. Yogeshwaran
Proofs of sharp phase transition and noise sensitivity in percolation have been significantly simplified by the use of randomized algorithms, via the OSSS inequality (proved by O'D…