Asymptotic Topology of Random Subcomplexes in a Finite Simplicial Complex

DOI10.1093/imrn/rnx272zbMath1479.57066arXiv1706.02204OpenAlexW2963511174MaRDI QIDQ5855190

Jean-Yves Welschinger, Nermin Salepci

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02204

zbMATH Keywords

Euler characteristicBetti numberbarycentric subdivisiondual block decompositiontriangulated homology manifold

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) General topology of complexes (57Q05) Combinatorial probability (60C05) Discrete geometry (52C99) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Asymptotic measures and links in simplicial complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Universal components of random nodal sets
• Face vectors of subdivided simplicial complexes
• \(f\)-vectors of barycentric subdivisions
• Shrinking cell-like decompositions of manifolds. Codimension three
• EXPECTED TOPOLOGY OF RANDOM REAL ALGEBRAIC SUBMANIFOLDS
• A formula for the Euler characteristics of even dimensional triangulated manifolds
• Polynomials Associated with Finite Gell-Complexes