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math-ph2020
Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes
Takato Matsui, Makoto Katori, Tomoyuki Shirai
The bulk scaling limit of eigenvalue distribution on the complex plane of the complex Ginibre random matrices provides a determinantal point process (DPP). This poin…
math-ph2012★ 7 cited
Note on the spectrum of discrete Schrödinger operators
Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1
The spectrum of discrete Schrödinger operator on the -dimensional lattice is considered, where denotes the discrete Laplacian and a delta function with mass at a s…