Geometrical detection of weak non-Gaussianity upon coarse-graining
| Autor: | Ari Turner, Vincenzo Vitelli, Thomas H. Beuman |
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| Rok vydání: | 2014 |
| Předmět: |
Physics
Random field Field (physics) Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Statistical and Nonlinear Physics Function (mathematics) Measure (mathematics) Maxima and minima Non-Gaussianity Granularity Statistical physics Maxima Condensed Matter - Statistical Mechanics Mathematical Physics |
| DOI: | 10.48550/arxiv.1402.6931 |
| Popis: | Measures of the non-Gaussianity of a random field depend on how accurately one is able to measure the field. If a signal measured at a certain point is to be averaged with its surroundings, or coarse-grained, the magnitude of its non-Gaussian component can vary. In this article, we investigate the variation of the "apparent" non-Gaussianity, as a function of the coarse-graining length, when we measure non-Gaussianity using the statistics of extrema in the field. We derive how the relative difference between maxima and minima -- which is a geometrical measure of the field's non-Gaussianity -- behaves as the field is coarse-grained over increasingly larger length scales. Measuring this function can give extra information about the non-Gaussian statistics and facilitate its detection. Comment: 8 pages, 1 figure |
| Databáze: | OpenAIRE |
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