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math.PR2023
First passage percolation on Erdős-Rényi graphs with general weights
Fraser Daly, Matthias Schulte, Seva Shneer
We consider first passage percolation on the Erdős--Rényi graph with vertices in which each pair of distinct vertices is connected independently by an edge with probability $λ/…
math.PR2023
Moderate deviations on Poisson chaos
Matthias Schulte, Christoph Thaele
This paper deals with U-statistics of Poisson processes and multiple Wiener-Itô integrals on the Poisson space. Via sharp bounds on the cumulants for both classes of random variabl…