14 citations · 89 across the 24 of their papers we have counts for
5 papers · 1 filter
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…
Spatial modeling and analysis of cellular networks using the Ginibre point process: A tutorial
Naoto Miyoshi, Tomoyuki Shirai
Spatial stochastic models have been much used for performance analysis of wireless communication networks. This is due to the fact that the performance of wireless networks depends…
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…
A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks
Naoto Miyoshi, Tomoyuki Shirai
We consider the spatial stochastic model of single-tier downlink cellular networks, where the wireless base stations are deployed according to a general stationary point process on…
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…