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Random Fields on Euclidean Spaces

Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

The main result of this chapter is Theorem 11.7.2 and its corollaries, which give explicit formulas for the mean Euler characteristic of the excursion sets of smooth Gaussian fields over rectangles in ℝ N .

Keywords

Euclidean Space Random Field Point Process Euler Characteristic Hermite Polynomial 
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Copyright information

© Springer Science+Business Media LLC 2007

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