14 citations · 89 across the 24 of their papers we have counts for
Showing 2016 · math.PRShow all
3 papers · 2 filters
math.PR2016★ 10 cited
Limit theorems for persistence diagrams
Trinh Khanh Duy, Yasuaki Hiraoka, Tomoyuki Shirai
The persistent homology of a stationary point process on is studied in this paper. As a generalization of continuum percolation theory, we study higher dimensional topo…
math.PR2016★ 1 cited
Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces
Alexander I. Bufetov, Tomoyuki Shirai
In this note, we show that determinantal point processes on the real line corresponding to de Branges spaces of entire functions are rigid in the sense of Ghosh-Peres and, under ce…
math.PR2016★ 4 cited
Tutte polynomials and random-cluster models in Bernoulli cell complexes
Yasuaki Hiraoka, Tomoyuki Shirai
This paper studies Bernoulli cell complexes from the perspective of persistent homology, Tutte polynomials, and random-cluster models. Following the previous work [9], we first sho…