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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

10 votes

Probability that planar Brownian motion doesn't "encircle" 0

The probability is asymptotic to $\lambda |x|^{1/4}$. This was proved by Schramm, Werner and myself using the Schramm-Loewner evolution. The exponent is called the disconnection exponent for Brownian …
Greg Lawler's user avatar