14 citations · 89 across the 24 of their papers we have counts for
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math.SP2015★ 13 cited
The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles
Trinh Khanh Duy, Tomoyuki Shirai
An explicit formula for the mean spectral measure of a random Jacobi matrix is derived. The matrix may be regarded as the limit of Gaussian beta ensemble (GE) matrices as the ma…
math.PR2015★ 5 cited
Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process
Yasuaki Hiraoka, Tomoyuki Shirai
This paper studies a higher dimensional generalization of Frieze's -limit theorem in the Erdös-Rényi graph process. Frieze's theorem states that the expected weight of the mi…
cs.IT2015
Downlink Coverage Probability in a Cellular Network with Ginibre Deployed Base Stations and Nakagami-m Fading Channels
Naoto Miyoshi, Tomoyuki Shirai
Recently, spatial stochastic models based on determinantal point processes (DPP) are studied as promising models for analysis of cellular wireless networks. Indeed, the DPPs can ex…