Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963831994> ?p ?o ?g. }
- W2963831994 endingPage "176" @default.
- W2963831994 startingPage "131" @default.
- W2963831994 abstract "We prove a Russo-Seymour-Welsh percolation theorem for nodal domains and nodal lines associated to a natural infinite dimensional space of real analytic functions on the real plane. More precisely, let $U$ be a smooth connected bounded open set in $mathbf{R}^{2}$ and $gamma, gamma '$ two disjoint arcs of positive length in the boundary of $U$ . We prove that there exists a positive constant $c$ , such that for any positive scale $s$ , with probability at least $c$ there exists a connected component of the set ${xin smash{bar{U}}, f(sx) > 0} $ intersecting both $gamma $ and $gamma '$ , where $f$ is a random analytic function in the Wiener space associated to the real Bargmann-Fock space. For $s$ large enough, the same conclusion holds for the zero set ${xin smash{bar{U}}, f(sx) = 0} $ . As an important intermediate result, we prove that sign percolation for a general stationary Gaussian field can be made equivalent to a correlated percolation model on a lattice." @default.
- W2963831994 created "2019-07-30" @default.
- W2963831994 creator A5051948682 @default.
- W2963831994 creator A5076864323 @default.
- W2963831994 date "2017-09-18" @default.
- W2963831994 modified "2023-10-05" @default.
- W2963831994 title "Percolation of random nodal lines" @default.
- W2963831994 cites W1513698536 @default.
- W2963831994 cites W1553728973 @default.
- W2963831994 cites W1590743980 @default.
- W2963831994 cites W1606109559 @default.
- W2963831994 cites W1610677200 @default.
- W2963831994 cites W1967844614 @default.
- W2963831994 cites W1968195260 @default.
- W2963831994 cites W1973212662 @default.
- W2963831994 cites W1982337866 @default.
- W2963831994 cites W2004136084 @default.
- W2963831994 cites W2010413041 @default.
- W2963831994 cites W2031047649 @default.
- W2963831994 cites W2045688818 @default.
- W2963831994 cites W2051405293 @default.
- W2963831994 cites W2059913730 @default.
- W2963831994 cites W2077273221 @default.
- W2963831994 cites W2082444183 @default.
- W2963831994 cites W2097612342 @default.
- W2963831994 cites W2119873388 @default.
- W2963831994 cites W2132280235 @default.
- W2963831994 cites W2149126359 @default.
- W2963831994 cites W2155491309 @default.
- W2963831994 cites W2156895775 @default.
- W2963831994 cites W2168793251 @default.
- W2963831994 cites W2593611574 @default.
- W2963831994 cites W2962868918 @default.
- W2963831994 cites W2963234029 @default.
- W2963831994 cites W2963236490 @default.
- W2963831994 cites W2963273798 @default.
- W2963831994 cites W2963432128 @default.
- W2963831994 cites W2964120864 @default.
- W2963831994 cites W2964311895 @default.
- W2963831994 cites W3098006848 @default.
- W2963831994 cites W3099553640 @default.
- W2963831994 cites W3100001102 @default.
- W2963831994 cites W4243766309 @default.
- W2963831994 cites W4250226066 @default.
- W2963831994 cites W577213760 @default.
- W2963831994 doi "https://doi.org/10.1007/s10240-017-0093-0" @default.
- W2963831994 hasPublicationYear "2017" @default.
- W2963831994 type Work @default.
- W2963831994 sameAs 2963831994 @default.
- W2963831994 citedByCount "39" @default.
- W2963831994 countsByYear W29638319942017 @default.
- W2963831994 countsByYear W29638319942018 @default.
- W2963831994 countsByYear W29638319942019 @default.
- W2963831994 countsByYear W29638319942020 @default.
- W2963831994 countsByYear W29638319942021 @default.
- W2963831994 countsByYear W29638319942022 @default.
- W2963831994 countsByYear W29638319942023 @default.
- W2963831994 crossrefType "journal-article" @default.
- W2963831994 hasAuthorship W2963831994A5051948682 @default.
- W2963831994 hasAuthorship W2963831994A5076864323 @default.
- W2963831994 hasBestOaLocation W29638319942 @default.
- W2963831994 hasConcept C126322002 @default.
- W2963831994 hasConcept C15744967 @default.
- W2963831994 hasConcept C169760540 @default.
- W2963831994 hasConcept C2780457167 @default.
- W2963831994 hasConcept C33923547 @default.
- W2963831994 hasConcept C71924100 @default.
- W2963831994 hasConcept C83330619 @default.
- W2963831994 hasConceptScore W2963831994C126322002 @default.
- W2963831994 hasConceptScore W2963831994C15744967 @default.
- W2963831994 hasConceptScore W2963831994C169760540 @default.
- W2963831994 hasConceptScore W2963831994C2780457167 @default.
- W2963831994 hasConceptScore W2963831994C33923547 @default.
- W2963831994 hasConceptScore W2963831994C71924100 @default.
- W2963831994 hasConceptScore W2963831994C83330619 @default.
- W2963831994 hasIssue "1" @default.
- W2963831994 hasLocation W29638319941 @default.
- W2963831994 hasLocation W29638319942 @default.
- W2963831994 hasLocation W29638319943 @default.
- W2963831994 hasLocation W29638319944 @default.
- W2963831994 hasLocation W29638319945 @default.
- W2963831994 hasLocation W29638319946 @default.
- W2963831994 hasLocation W29638319947 @default.
- W2963831994 hasLocation W29638319948 @default.
- W2963831994 hasOpenAccess W2963831994 @default.
- W2963831994 hasPrimaryLocation W29638319941 @default.
- W2963831994 hasRelatedWork W1979597421 @default.
- W2963831994 hasRelatedWork W2005235338 @default.
- W2963831994 hasRelatedWork W2008743321 @default.
- W2963831994 hasRelatedWork W2015631438 @default.
- W2963831994 hasRelatedWork W2058040049 @default.
- W2963831994 hasRelatedWork W2067642760 @default.
- W2963831994 hasRelatedWork W2086768503 @default.
- W2963831994 hasRelatedWork W2121777986 @default.
- W2963831994 hasRelatedWork W2397588479 @default.
- W2963831994 hasRelatedWork W2943323518 @default.
- W2963831994 hasVolume "126" @default.
- W2963831994 isParatext "false" @default.