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math.PR2023
Scaling limits of stationary determinantal shot-noise fields
Takumi Aburayama, Naoto Miyoshi
We consider a shot-noise field defined on a stationary determinantal point process on associated with i.i.d. amplitudes and a bounded response function, for which we…
math.PR2022
Neveu's exchange formula for analysis of wireless networks with hotspot clusters
Naoto Miyoshi
Theory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communicat…
math.PR2017
Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models
Naoto Miyoshi, Tomoyuki Shirai
We consider a spatial stochastic model of wireless cellular networks, where the base stations (BSs) are deployed according to a simple and stationary point process on $\mathbb{R}^d…