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math.PR2025
Local criteria for global connectivity comparisons: beyond stochastic domination
Johannes Bäumler, Benedikt Jahnel, Jonas Köppl +3
We introduce a site-wise domination criterion for local percolation models, which enables the comparison of one-arm probabilities even in the absence of stochastic domination. The…
math.PR2025
Preferential Attachment Trees with Vertex Death: Persistence of the Maximum Degree
Bas Lodewijks
We consider an evolving random discrete tree model called Preferential Attachment with Vertex Death, as introduced by Deijfen. Initialised with an alive root labelled , at each…
math.PR2025
Preferential Attachment Trees with Vertex Death: Lack of Persistence of the Maximum Degree
Markus Heydenreich, Bas Lodewijks
We consider an evolving random discrete tree model called Preferential Attachment with Vertex Death, as introduced by Deijfen. Initialised with an alive root labelled , at each…