Bounds for Disconnection Exponents

Wendelin Werner

doi:10.1214/ECP.v1-974

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Home > Journals > Electron. Commun. Probab. > Volume 1 > Article

1996 Bounds for Disconnection Exponents

Wendelin Werner

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Wendelin Werner¹
¹Université Paris-Sud and IUF

Electron. Commun. Probab. 1: 19-28 (1996). DOI: 10.1214/ECP.v1-974

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Abstract

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.