44 citations · 181 across the 27 of their papers we have counts for
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math.PR2021★ 1 cited
Graph distances in scale-free percolation: the logarithmic case
Nannan Hao, Markus Heydenreich
Scale-free percolation is a stochastic model for complex networks. In this spatial random graph model, vertices are linked by an edge with probability dependin…
math.PR2021
Voronoi cells in random split trees
Alexander Drewitz, Markus Heydenreich, Cécile Mailler
We study the sizes of the Voronoi cells of uniformly chosen vertices in a random split tree of size . We prove that, for large, the largest of these Voronoi cells co…
math.PR2021★ 3 cited
Variance of voltages in a lattice Coulomb gas
Diana Conache, Markus Heydenreich, Franz Merkl +1
We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb…