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• W2040633291 startingPage "235" @default.
• W2040633291 abstract "We prove that a Gaussian ensemble of smooth random sections of a real vector bundle $$E$$ over compact manifold $$M$$ canonically defines a metric on $$E$$ together with a connection compatible with it. Additionally, we prove a refined Gauss-Bonnet theorem stating that if the bundle $$E$$ and the manifold $$M$$ are oriented, then the Euler form of the above connection can be identified, as a current, with the expectation of the random current defined by the zero-locus of a random section in the above Gaussian ensemble." @default.
• W2040633291 created "2016-06-24" @default.
• W2040633291 creator A5063741270 @default.
• W2040633291 date "2015-04-25" @default.
• W2040633291 modified "2023-09-25" @default.
• W2040633291 title "A stochastic Gauss–Bonnet–Chern formula" @default.
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• W2040633291 doi "https://doi.org/10.1007/s00440-015-0630-z" @default.
• W2040633291 hasPublicationYear "2015" @default.
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