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- Ivana Horová, Jan Kolácek, Kamila Vopatová
- Computational Statistics & Data Analysis
- 2013

Keywords: Asymptotic mean integrated square error Multivariate kernel density Unconstrained bandwidth matrix a b s t r a c t The most important factor in multivariate kernel density estimation is a choice of a bandwidth matrix. This choice is particularly important, because of its role in controlling both the amount and the direction of multivariate… (More)

- J Kolácek, P Lipavský, E H Brandt
- Physical review letters
- 2001

The electric charge density in the vortex lattice of superconductors is studied within the Ginzburg-Landau (GL) theory. We show that the electrostatic potential varphi is proportional to the GL function, varphi /psi/2-/psi(infinity)/2. Numerical results for the triangular vortex lattice are presented.

It is widely believed that temperature gradient does not induce electric field in the su-perconductor and consequently that thermoelectric effects do not exist, or are negligible in these materials. This statement is correct only as far as effective electric field or gradient of the electrochemical potential is concerned. In normal metals temperature… (More)

The correlated density appears in many physical systems ranging from dense interacting gases up to Fermi liquids which develop a coherent state at low temperatures, the su-perconductivity. One consequence of the correlated density is the Bernoulli potential in superconductors which compensates forces from dielectric currents. This Bernoulli potential allows… (More)

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