Stochastic geometry and topology of non-Gaussian fields
| العنوان: | Stochastic geometry and topology of non-Gaussian fields |
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| المؤلفون: | Vincenzo Vitelli, Thomas H. Beuman, Ari Turner |
| المساهمون: | Quantum Condensed Matter Theory (ITFA, IoP, FNWI) |
| المصدر: | Proceedings of the National Academy of Sciences of the United States of America, 109(49), 19943-19948. National Academy of Sciences |
| بيانات النشر: | Proceedings of the National Academy of Sciences, 2012. |
| سنة النشر: | 2012 |
| مصطلحات موضوعية: | Cosmology and Nongalactic Astrophysics (astro-ph.CO), Gaussian, Normal Distribution, FOS: Physical sciences, Topology, Gaussian random field, symbols.namesake, Non-Gaussianity, Condensed Matter - Statistical Mechanics, Physics, Stochastic Processes, Multidisciplinary, Random field, Statistical Mechanics (cond-mat.stat-mech), Stochastic process, Models, Theoretical, Maxima and minima, Nonlinear system, Classical mechanics, Nonlinear Dynamics, Physical Sciences, symbols, Stochastic geometry, Cosmic Radiation, Astrophysics - Cosmology and Nongalactic Astrophysics, Gravitation |
| الوصف: | Gaussian random fields pervade all areas of science. However, it is often the departures from Gaussianity that carry the crucial signature of the nonlinear mechanisms at the heart of diverse phenomena, ranging from structure formation in condensed matter and cosmology to biomedical imaging. The standard test of non-Gaussianity is to measure higher order correlation functions. In the present work, we take a different route. We show how geometric and topological properties of Gaussian fields, such as the statistics of extrema, are modified by the presence of a non-Gaussian perturbation. The resulting discrepancies give an independent way to detect and quantify non-Gaussianities. In our treatment, we consider both local and nonlocal mechanisms that generate non-Gaussian fields, both statically and dynamically through nonlinear diffusion. Comment: 8 pages, 4 figures |
| تدمد: | 1091-6490 0027-8424 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cfa633bec006c04c72cb6ea54a3ed3dTest https://doi.org/10.1073/pnas.1212028109Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....2cfa633bec006c04c72cb6ea54a3ed3d |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10916490 00278424 |
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