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Crossing statistics of anisotropic stochastic surface

Abstract:

We use crossing statistics and its generalization to determine the anisotropic direction imposed on a stochastic fields in $(2+1)$Dimension. This approach enables us to examine not only the rotational invariance of morphology but also we can determine the Gaussianity of underlying stochastic field in various dimensions. Theoretical prediction of up-crossing statistics (crossing with positive slope at a given threshold $\alpha$ of height fluctuation), $\nu^+_{\diamond}(\alpha)$, and generalize...

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Publication status:
Submitted
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Department:
Oxford, SSD, Oxford Internet Institute
Role:
Author
Publication date:
2015-08-05
URN:
uuid:a64f21ae-b554-4375-9c32-ee3a7c8cdab4
Source identifiers:
607170
Local pid:
pubs:607170

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