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The Center of Mass of the ISE and the Wiener Index of Trees
ISE, Brownian snake Brownian excursion center of mass Wiener index
2009/4/28
We derive the distribution of the center of mass S of the integrated superBrownian excursion (ISE) from the asymptotic distribution of the Wiener index for simple trees. Equivalently, this is the dist...
Measure Concentration for Stable Laws with Index Close to 2
Concentration of measure stable distribution
2009/4/24
We give upper bounds for the probability $P(|f(X)-Ef(X)|>x)$, where $X$ is a stable random variable with index close to 2 and $f$ is a Lipschitz function. While the optimal upper bound is known to be ...