A synopsis of combinatorial integral geometry

DOI10.1016/0001-8708(80)90022-5zbMath0476.60009OpenAlexW2061929210MaRDI QIDQ1160479

Rouben V. Ambartsumian

Publication date: 1980

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(80)90022-5

zbMATH Keywords

invariant measurescombinatorial integral geometryBuffon-Sylvester problem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) General theory of differentiable manifolds (58A99) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (3)

Combinatorial principles in stochastic geometry in the plane: A review ⋮ On some topological invariants in integral geometry ⋮ Combinatorial integral geometry, metrics, and zonoids

Cites Work

• Unnamed Item
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• Combinatorial integral geometry, metrics, and zonoids
• Planes for which the lines are the shortest paths between points
• Integral geometry on surfaces
• Combinatorial solution of the Buffon Sylvester problem
• A note on pseudo-metrics on the plane
• On some topological invariants in integral geometry
• Stochastic geometry from the standpoint of integral geometry
• The number of partitions of a set of N points in k dimensions induced by hyperplanes
• The solution to the Buffon-Sylvester problem inR 3

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