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math.PR2025
Arm events in critical planar loop soups
Yijie Bi, Yifan Gao, Pierre Nolin +1
We establish up-to-constants estimates for arm events in the Brownian loop soup on the 2D metric graph associated with the square lattice. More specifically, we consider two natura…
math.PR2025
Non-existence of several random fractals in Brownian motion and Brownian loop soup
Yifan Gao, Xinyi Li, Runsheng Liu +1
We develop a unified approach to establish the non-existence of three types of random fractals: (1) the pioneer triple points of the planar Brownian motion, answering an open quest…
math.PR2025
Up-to-constants estimates on four-arm events for simple conformal loop ensemble
Yifan Gao, Pierre Nolin, Wei Qian
We prove up-to-constants estimates for a general class of four-arm events in simple conformal loop ensembles, i.e. CLE for . The four-arm events that we consider…