On the Occupation Measure of Super-brownian Motion
نویسنده
چکیده
We derive the asymptotic behavior of the occupation measure Z(B1) of the unit ball for superBrownian motion started from the Dirac measure at a distant point x and conditioned to hit the unit ball. In the critical dimension d = 4, we obtain a limiting exponential distribution for the ratio Z(B1)/ log |x|.
منابع مشابه
ON THE OCCUPATION MEASURE OF SUPER-BROWNIAN MOTION Jean-François LE GALL and Mathieu MERLE
We derive the asymptotic behavior of the occupation measure Z(B1) of the unit ball for super-Brownian motion started from the Dirac measure at a distant point x and conditioned to hit the unit ball. In the critical dimension d = 4, we obtain a limiting exponential distribution for the ratio Z(B1)/ log |x|.
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تاریخ انتشار 2006