Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions

dc.contributor.author	Nazarov, F.
dc.contributor.author	Sodin, M.
dc.date.accessioned	2018-07-10T14:23:31Z
dc.date.available	2018-07-10T14:23:31Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI: doi.org/10.15407/mag12.03.205
dc.identifier.other	Mathematics Subject Classification 2010: 60G15
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140554
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA