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math.PR2026
Minimum and extremal process for a branching random walk outside the boundary case
Xinxin Chen, Haojie Hou
This work extends the studies on the minimum and extremal process of a supercritical branching random walk outside the boundary case which cannot be reduced to the boundary case. W…
math.PR2024
Minkowski sum of fractal percolation and random sets
Tianyi Bai, Xinxin Chen, Yuval Peres
In this paper, we prove that hitting probability of Minkowski sum of fractal percolations can be characterized by capacity. Then we extend this result to Minkowski sum of general r…