34 citations · 150 across the 45 of their papers we have counts for
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math.PR2012★ 8 cited
On Pfaffian random point fields
Vladislav Kargin
We study Pfaffian random point fields by using the Moore-Dyson quaternion determinants. First, we give sufficient conditions that ensure that a self-dual quaternion kernel defines…
math.PR2012★ 6 cited
On Eigenvalues of the sum of two random projections
Vladislav Kargin
We study the behavior of eigenvalues of matrix P_N + Q_N where P_N and Q_N are two N -by-N random orthogonal projections. We relate the joint eigenvalue distribution of this matrix…
math.PR2012★ 1 cited
On Fluctuations of Riemann's Zeta Zeros
Vladislav Kargin
It is shown that the normalized fluctuations of Riemann's zeta zeros around their predicted locations follow the Gaussian law. It is also shown that fluctuations of two zeros, $γ_{…