arXiv Analytics

Sign in

arXiv:1606.06518 [math.PR]AbstractReferencesReviewsResources

A remark on the convergence of Betti numbers in the thermodynamic regime

Trinh Khanh Duy

Published 2016-06-21Version 1

The convergence of the expectations of Betti numbers of \v{C}ech complexes built on binomial point processes in the thermodynamic regime is established.

Related articles: Most relevant | Search more
arXiv:2001.00220 [math.PR] (Published 2020-01-01)
Statistical Invariance of Betti Numbers in the Thermodynamic Regime
arXiv:1807.11018 [math.PR] (Published 2018-07-29)
Betti Numbers of Gaussian Excursions in the Sparse Regime
arXiv:1103.1426 [math.PR] (Published 2011-03-08, updated 2011-11-01)
Convergence of random series and the rate of convergence of the strong law of large numbers in game-theoretic probability