Functional central limit theorems for local statistics of spatial birth–death processes in the thermodynamic regime

Homological connectivity in random Čech complexes

(2022) Omer Bobrowski   PROBABILITY THEORY AND RELATED FIELDS

Limit theorems for topological invariants of the dynamic multi-parameter simplicial complex

(2021) Takashi Owada et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Normal approximation for stabilizing functionals

(2019) Raphaël Lachièze-Rey et al.   ANNALS OF APPLIED PROBABILITY

Limit theorems for Betti numbers of extreme sample clouds with application to persistence barcodes

(2018) Takashi Owada   ANNALS OF APPLIED PROBABILITY

Large random simplicial complexes, III the critical dimension

(2017) A. Costa et al.   JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS

On the evolution of topology in dynamic clique complexes

(2016) Gugan C. Thoppe et al.   ADVANCES IN APPLIED PROBABILITY

Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization

(2015) Günter Last et al.   PROBABILITY THEORY AND RELATED FIELDS

Random geometric complexes in the thermodynamic regime

(2015) D. Yogeshwaran et al.   PROBABILITY THEORY AND RELATED FIELDS

Distance functions, critical points, and the topology of random Čech complexes

(2014) Omer Bobrowski et al.   Homology Homotopy and Applications

A functional central limit theorem for spatial birth and death processes

(2008) Xin Qi   ADVANCES IN APPLIED PROBABILITY