Proves non-existence of pioneer triple points in planar Brownian motion, pioneer double cut points in 2D and 3D Brownian motion, and double points on cluster boundaries in critical planar Brownian loop soup using a unified exponent-based dimension argument.
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Non-existence of several random fractals in Brownian motion and Brownian loop soup
Proves non-existence of pioneer triple points in planar Brownian motion, pioneer double cut points in 2D and 3D Brownian motion, and double points on cluster boundaries in critical planar Brownian loop soup using a unified exponent-based dimension argument.