Crofton formulae for products

zbMath1504.52003arXiv2011.04294MaRDI QIDQ5043647

Dmitri N. Akhiezer, B. Ya. Kazarnovskii

Publication date: 6 October 2022

Full work available at URL: https://arxiv.org/abs/2011.04294

zbMATH Keywords

mixed volumenormal densityCrofton formulaCrofton dataCrofton density

Mathematics Subject Classification ID

Integral geometry (53C65) Mixed volumes and related topics in convex geometry (52A39) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

• Unnamed Item
• Unnamed Item
• Newton polyhedra and zeros of systems of exponential sums
• Newton polyhedra and the Bezout formula for matrix-valued functions of finite-dimensional representations
• The number of roots of a system of equations
• Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials
• Average number of zeros and mixed symplectic volume of Finsler sets
• Range characterization of the cosine transform on higher Grassmannians
• Average number of roots of systems of equations
• Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields
• Theory of valuations on manifolds: A survey
• Gelfand transforms and Crofton formulas
• The Kinematic Formula in Complex Integral Geometry

This page was built for publication: Crofton formulae for products