Frequentist analyses of solar neutrino data (updated including KamLAND and SNO data)

The solar neutrino data are analyzed in a frequentist framework, using the Crow-Gardner and Feldman-Cousins prescriptions for the construction of confidence regions. Including in the fit only the total rates measured by the various experiments, both methods give results similar to the commonly used Delta chi^2-cut approximation. When fitting the full data set, the Delta chi^2-cut still gives a good approximation of the Feldman-Cousins regions. However, a careful statistical analysis significantly reduces the goodness-of-fit of the SMA and LOW solutions. In the addenda we discuss the implications of the latest KamLAND, SNO and SK data.Comment: 24 pages, 12 figures. Version 2: addendum about the CC SNO data (section 6). Version 3: addendum about the NC and day/night SNO data (section 7). Version 4: addendum about the KamLAND data (section 8). Version 5: addendum about SNO salt data (section 9, pages 22, 23). Version 6: final addendum about final SNO salt data and KamLAND (section 10, page 24

Addendum to ``Multichannel Kondo screening in a one-dimensional correlated electron system''

This is an addendum to our previous work cond-mat/9705048 (published in Europhysics Letters 41, 213 (1998)), clarifying the construction of the two-particle scattering matrices used for studying the magnetic impurity behavior in a multichannel correlated host.Comment: Addendum to cond-mat/9705048 (Europhys. Lett. 41, 213 (1998)

Bethe Ansatz derived from the functional relations of the open XXZ chain for new special cases

The transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe Ansatz solution for the transfer matrix eigenvalues for the special cases that all but one of the boundary parameters are zero, and the bulk anisotropy parameter is \eta = i\pi/3, i\pi/5 ,... In an Addendum, these results are extended to the cases that any two of the boundary parameters {\alpha_-, \alpha_+,\beta_-, \beta_+} are arbitrary and the remaining boundary parameters are either \eta or i \pi/2.Comment: 13 pages, LaTeX; amssymb, no figures; v2: published version + Addendum; v3: correct Eq. (3.40

On the sets of nn points forming n+1n+1 directions

Let $S$ be a set of $n\geq 7$ points in the plane, no three of which are collinear. Suppose that $S$ determines $n+1$ directions. That is to say, the segments whose endpoints are in $S$ form $n+1$ distinct slopes. We prove that $S$ is, up to an affine transformation, equal to $n$ of the vertices of a regular $(n+1)$-gon. This result was conjectured in 1986 by R. E. Jamison. In an addendum to the paper, we show that a much stronger result can be obtained as a corollary of a structure theorem of Green and Tao on point sets spanning few ordinary lines.Comment: Paper: 7 pages, 5 figures. Addendum: 3 page