Euler integration over definable functions
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Publication:3073985
DOI10.1073/pnas.0910927107zbMath1205.53081arXiv0909.4054OpenAlexW2109673461WikidataQ34006630 ScholiaQ34006630MaRDI QIDQ3073985
Robert W. Ghrist, Yuliy M. Baryshnikov
Publication date: 12 February 2011
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.4054
Communication networks in operations research (90B18) Model-theoretic algebra (03C60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Integral geometry (53C65) Semialgebraic sets and related spaces (14P10)
Related Items (9)
Discrete Euler integration over functions on finite categories ⋮ EULER INTEGRATION OF GAUSSIAN RANDOM FIELDS AND PERSISTENT HOMOLOGY ⋮ Discrete Morse theory for computing cellular sheaf cohomology ⋮ Mean geometry for 2D random fields: level perimeter and level total curvature integrals ⋮ Euler characteristic surfaces ⋮ Hadwiger's theorem for definable functions ⋮ Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets ⋮ Topological approach to microcanonical thermodynamics and phase transition of interacting classical spins ⋮ A complexity theory of constructible functions and sheaves
Cites Work
- Integralsätze im Konvexring
- Operations on constructible functions
- Integration of positive constructible functions against Euler characteristic and dimension
- Constructible motivic functions and motivic integration
- Chern classes for singular algebraic varieties
- Integral geometry of tame sets
- Target Enumeration via Euler Characteristic Integrals
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