Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The primary examples are various Gaussian ensembles of real-valued polynomials (algebraic or trigonometric) of large degree on...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/140554 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions / F. Nazarov, M. Sodin // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 3. — С. 205-278. — Бібліогр.: 30 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739874231091200 |
|---|---|
| author | Nazarov, F. Sodin, M. |
| author_facet | Nazarov, F. Sodin, M. |
| citation_txt | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions / F. Nazarov, M. Sodin // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 3. — С. 205-278. — Бібліогр.: 30 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The primary examples are various Gaussian ensembles of real-valued polynomials (algebraic or trigonometric) of large degree on the sphere or torus, and translation-invariant smooth Gaussian functions on the Euclidean space restricted to large domains.
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| first_indexed | 2025-12-07T20:11:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140554 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:11:32Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Nazarov, F. Sodin, M. 2018-07-10T14:23:31Z 2018-07-10T14:23:31Z 2016 Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions / F. Nazarov, M. Sodin // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 3. — С. 205-278. — Бібліогр.: 30 назв. — англ. 1812-9471 DOI: doi.org/10.15407/mag12.03.205 Mathematics Subject Classification 2010: 60G15 https://nasplib.isofts.kiev.ua/handle/123456789/140554 We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The primary examples are various Gaussian ensembles of real-valued polynomials (algebraic or trigonometric) of large degree on the sphere or torus, and translation-invariant smooth Gaussian functions on the Euclidean space restricted to large domains. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions Article published earlier |
| spellingShingle | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions Nazarov, F. Sodin, M. |
| title | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions |
| title_full | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions |
| title_fullStr | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions |
| title_full_unstemmed | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions |
| title_short | Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions |
| title_sort | asymptotic laws for the spatial distribution and the number of connected components of zero sets of gaussian random functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140554 |
| work_keys_str_mv | AT nazarovf asymptoticlawsforthespatialdistributionandthenumberofconnectedcomponentsofzerosetsofgaussianrandomfunctions AT sodinm asymptoticlawsforthespatialdistributionandthenumberofconnectedcomponentsofzerosetsofgaussianrandomfunctions |