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math.PR2024
Small maximal clusters are very unlikely in critical random graphs
Umberto De Ambroggio
We describe a probabilistic methodology, based on random walk estimates, to obtain exponential upper bounds for the probability of observing unusually small maximal components in t…
math.PR2024
Limit Laws for Critical Dispersion on Complete Graphs
Umberto De Ambroggio, Tamás Makai, Konstantinos Panagiotou +1
We consider a synchronous process of particles moving on the vertices of a graph , introduced by Cooper, McDowell, Radzik, Rivera and Shiraga (2018). Initially, particles ar…