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9 papers · 1 filter
Gram matrices of reproducing kernel Hilbert spaces over graphs
Michio Seto, Sho Suda, Tetsuji Taniguchi
In this paper, we introduce the notion of reproducing kernel Hilbert spaces for graphs and the Gram matrices associated with them. Our aim is to investigate the Gram matrices of re…
Asymptotics for penalized spline estimators in quantile regression
Takuma Yoshida
Quantile regression predicts the -quantile of the conditional distribution of a response variable given the explanatory variable for . The aim of this paper is to est…
Accuracy and range of validity of the Wigner surmise for mixed symmetry classes in random matrix theory
Shinsuke M. Nishigaki
Schierenberg et al. [Phys. Rev. E 85, 061130 (2012)] recently applied the Wigner surmise, i.e., substitution of \infty \times \infty matrices by their 2 \times 2 counterparts for t…
Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory
Ken Matsuno, Hideki Ishihara, Masashi Kimura +1
We construct exact solutions, which represent regular charged rotating Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell theory. Quantization conditions…
Level spacings of parametric chiral random matrices and two-color QCD with twisted boundary condition
Shinsuke M. Nishigaki
We evaluate level spacing and smallest eigenvalue distributions of chiral random matrix ensembles transiting from symplectic or orthogonal to unitary symmetry classes with a crosso…
Universality crossover between chiral random matrix ensembles and twisted SU(2) lattice Dirac spectra
Shinsuke M. Nishigaki
Motivated by the statistical fluctuation of Dirac spectrum of QCD-like theories subjected to (pseudo)reality-violating perturbations and in the epsilon-regime, we compute the small…