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math.PR2012★ 14 cited
Correlation functions for zeros of a Gaussian power series and Pfaffians
Sho Matsumoto, Tomoyuki Shirai
We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We further show that the product moments for absolute values…
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…