We develop the concept of trajectories in anyon spectra, i.e., the continuous dependence of energy levels on the kinetic angular momentum. It provides a more economical and unified description, since each trajectory contains an infinite number of points corresponding to the same statistics. For a system of noninteracting anyons in a harmonic potential, each trajectory consists of two infinite s...

If sneutrinos are the lightest supersymmetry partners and R-parity is not conserved , the process e + e − → ˜ ¯ ν ˜ ν can have striking signatures due to the decay modes ˜ ν → ℓ + ℓ ′− or˜ν → q ¯ q ′. We present cross section formulas and discuss event rates and detection at the upgraded e + e − collider LEP. Four-lepton signals should be detectable up to sneutrino mass˜m ν = 80 GeV and maybe b...

We discuss a problem of finding a speed of sound c(x) and a potential q(x) in a second-order hyperbolic equation from two boundary observations. The coefficients are assumed to be unknown inside a disc in R. On a suitable bounded part of the cylindrical surface, we are given Cauchy data for solutions to a hyperbolic equation with zero initial data and sources located on the lines {(x, t) ∈ R3|x...

Introduction: All measurements in direct muon decay, μ − → e − + 2 neutrals, and its inverse, ν μ + e − → μ − + neutral, are successfully described by the " V-A interaction, " which is a particular case of a local, derivative-free, lepton-number-conserving, four-fermion interaction [1]. As shown below, within this framework, the Standard Model assumptions, such as the V-A form and the nature of...

We propose to exploit the angular distribution of the positrons emitted in the reaction ν e + p → n + e + to extract a possible antineu-trino signal from the Superkamiokande background. From the statistics collected in just 101.9 days one obtains a model independent upper bound on the antineutrino flux Φ ν (E ν > 8.3M eV) < 9 · 10 4 cm −2 s −1 at the 95% C.L. By assuming the same energy spectru...

Introduction. The Knizhnik-Zamolodchikov-Bernard connection ([22, 5, 27]) can be viewed as a flat connection over the complement det∗g,ν of the zero-section in the total space of the determinant line bundle over the moduli space Mg,ν·12 of genus g curves with ν marked points and tangent vectors ([4]). Projectivization of this connection is the pull-back of a flat projective connection on Mg,ν·1...

Is the ν µ → ν s oscillation solution to the atmospheric neutrino anomaly excluded by the superKamiokande data? Abstract Recently the SuperKamiokande collaboration have claimed that their data exclude the ν µ → ν s solution to the atmospheric neutrino anomaly at more than 99% C.L. We critically examine this claim.

The ν-support vector machine (ν-SVM) for classification proposed by Schölkopf et al. has the advantage of using a parameter ν on controlling the number of support vectors. In this paper, we investigate the relation between ν-SVM and C-SVM in detail. We show that in general they are two different problems with the same optimal solution set. Hence we may expect that many numerical aspects on solv...