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Computation of moments for the length of the one dimensional {ISE} support. (English) Zbl 1064.60169

Summary: We consider the support \([L',R']\) of the one-dimensional integrated super Brownian excursion. We determine the distribution of \((R',L')\) through a modified Laplace transform. Then we give an explicit value for the first two moments of \(R'\) as well as the covariance of \(R'\) and \(L'\).

MSC:

60J55 Local time and additive functionals
60G57 Random measures

Keywords:

Brownian snake
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