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Simulations and Conjectures for Disconnection Exponents
Brownian Motion Disconnection Exponents
2009/5/12
Using Monte-Carlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot.
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 $1/(2pi)$ for the disconnection ...