The influence of statistical properties of Fourier coefficients on random Gaussian surfaces

Abstract Many examples of natural systems can be described by random Gaussian surfaces. Much can be learned by analyzing the Fourier expansion of the surfaces, from which it is possible to determine the corresponding Hurst exponent and consequently establish the presence of scale invariance. We show...

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Autores principales:	C. P. de Castro, M. Luković, R. F. S. Andrade, H. J. Herrmann
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/76aa29f6afbf4fbfa4590f42e60ea903
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spelling	oai:doaj.org-article:76aa29f6afbf4fbfa4590f42e60ea9032021-12-02T15:05:37ZThe influence of statistical properties of Fourier coefficients on random Gaussian surfaces10.1038/s41598-017-02135-y2045-2322https://doaj.org/article/76aa29f6afbf4fbfa4590f42e60ea9032017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02135-yhttps://doaj.org/toc/2045-2322Abstract Many examples of natural systems can be described by random Gaussian surfaces. Much can be learned by analyzing the Fourier expansion of the surfaces, from which it is possible to determine the corresponding Hurst exponent and consequently establish the presence of scale invariance. We show that this symmetry is not affected by the distribution of the modulus of the Fourier coefficients. Furthermore, we investigate the role of the Fourier phases of random surfaces. In particular, we show how the surface is affected by a non-uniform distribution of phases.C. P. de CastroM. LukovićR. F. S. AndradeH. J. HerrmannNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q C. P. de Castro M. Luković R. F. S. Andrade H. J. Herrmann The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
description	Abstract Many examples of natural systems can be described by random Gaussian surfaces. Much can be learned by analyzing the Fourier expansion of the surfaces, from which it is possible to determine the corresponding Hurst exponent and consequently establish the presence of scale invariance. We show that this symmetry is not affected by the distribution of the modulus of the Fourier coefficients. Furthermore, we investigate the role of the Fourier phases of random surfaces. In particular, we show how the surface is affected by a non-uniform distribution of phases.
format	article
author	C. P. de Castro M. Luković R. F. S. Andrade H. J. Herrmann
author_facet	C. P. de Castro M. Luković R. F. S. Andrade H. J. Herrmann
author_sort	C. P. de Castro
title	The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
title_short	The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
title_full	The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
title_fullStr	The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
title_full_unstemmed	The influence of statistical properties of Fourier coefficients on random Gaussian surfaces
title_sort	influence of statistical properties of fourier coefficients on random gaussian surfaces
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/76aa29f6afbf4fbfa4590f42e60ea903
work_keys_str_mv	AT cpdecastro theinfluenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT mlukovic theinfluenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT rfsandrade theinfluenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT hjherrmann theinfluenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT cpdecastro influenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT mlukovic influenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT rfsandrade influenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces AT hjherrmann influenceofstatisticalpropertiesoffouriercoefficientsonrandomgaussiansurfaces
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The influence of statistical properties of Fourier coefficients on random Gaussian surfaces

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