2 papers
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…
math.PR2024
Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman--Kac formula
Tianyi Bai, Wolfgang König, Quirin Vogel
We consider the non-interacting Bose gas of bosons in dimension in a trap in a mean-field setting with a vanishing factor in front of the kinetic energy. The ch…