Abstract
Our aim in this chapter is to show you how to prove the Gaussian kinematic formula, (1.3.3). That is, that for \( f:M\rightarrow\mathbb{R}^d, \)with component random fields \(f_1,\ldots,f_d\) which are smooth, zero mean, unit variance, and Gaussian, and where M and \(D\subset\mathbb{R}^d\) are nice enough,
Keywords
- Gaussian Process
- Euler Characteristic
- Isotropic Case
- Spectral Moment
- Coarea Formula
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2011 Springer-Verlag Berlin Heidelberg
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Adler, R.J., Taylor, J.E. (2011). The Gaussian Kinematic Formula. In: Topological Complexity of Smooth Random Functions. Lecture Notes in Mathematics(), vol 2019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19580-8_4
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DOI: https://doi.org/10.1007/978-3-642-19580-8_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19579-2
Online ISBN: 978-3-642-19580-8
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