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- W2063862016 abstract "We consider a super-Brownian motion X. Its canonical measures can be studied through the path-valued process called the Brownian snake. We obtain the limiting behavior of the volume of the ɛ-neighborhood for the range of the Brownian snake, and as a consequence we derive the analogous result for the range of super-Brownian motion and for the support of the integrated super-Brownian excursion. Then we prove the support of X t is capacity-equivalent to [0, 1]2 in ℝd, d≥ 3, and the range of X, as well as the support of the integrated super-Brownian excursion are capacity-equivalent to [0, 1]4 in ℝd, d≥ 5." @default.
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- W2063862016 date "1999-07-01" @default.
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- W2063862016 title "Some properties of the range of super-Brownian motion" @default.
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- W2063862016 doi "https://doi.org/10.1007/s004400050233" @default.
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