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math.PR2023
Brownian snails with removal die out in one dimension
Ivailo Hartarsky, Lyuben Lichev
Brownian snails with removal is a spatial epidemic model defined as follows. Initially, a homogeneous Poisson process of susceptible particles on with intensity …
math.PR2023
Label propagation on binomial random graphs
Marcos Kiwi, Lyuben Lichev, Dieter Mitsche +1
We study the behavior of a label propagation algorithm (LPA) on the Erdős-Rényi random graph . Initially, given a network, each vertex starts with a random label…
math.PR2023
Color-avoiding percolation of random graphs: between the subcritical and the intermediate regime
Lyuben Lichev
Fix a graph in which every edge is colored in some of colors. Two vertices and are CA-connected if and may be connected using any subset of col…