26 citations · 91 across the 17 of their papers we have counts for
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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★ 3 cited
Gaussian beta ensembles at high temperature: eigenvalue fluctuations and bulk statistics
Trinh Khanh Duy, Fumihiko Nakano
We study the limiting behavior of Gaussian beta ensembles in the regime where as . The results are (1) Gaussian fluctuations for linear statistics of the…