We slightly improve the upper bounds of disconnection exponents for planar Brownian motion that we derived in an earlier paper. We also give a proof of the lower bound $1/(2\pi)$ for the disconnection exponent for one path.
"Bounds for Disconnection Exponents." Electron. Commun. Probab. 1 19 - 28, 1996. https://doi.org/10.1214/ECP.v1-974