Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields
DOI10.1007/s10958-014-1844-9zbMath1339.60038arXiv1206.0371OpenAlexW1969429658MaRDI QIDQ2253979
Dmitry Zaporozhets, Zakhar Kabluchko
Publication date: 16 February 2015
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0371
ellipsoidsBernstein theoremWishart matrixKac-Rice formulamixed volumesGaussian random fieldsGaussian random determinantGaussian random parallelotope
Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Random matrices (probabilistic aspects) (60B20)
Related Items (7)
Cites Work
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- The number of roots of a system of equations
- Computing mixed discriminants, mixed volumes, and permanents
- Moment-generating operators for determinants of product moments in samples from a normal system
- Stochastic and Integral Geometry
- The Distribution of the Determinant of a Complex Wishart Distributed Matrix
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