Consider a N ×n matrix Σn = 1 √ n R 1/2 n Xn, where Rn is a nonnegative definite Hermitian matrix and Xn is a random matrix with i.i.d. real or complex standardized entries. The fluctuations of the linear statistics of the eigenvalues: Trace f(ΣnΣ ∗ n) = N ∑ i=1 f(λi), (λi) eigenvalues of ΣnΣ ∗ n, are shown to be gaussian, in the regime where both dimensions of matrix Σn go to infinity at the s...

X iv :h ep -p h/ 05 04 18 5 v1 20 A pr 2 00 5 Random magnetic fields inducing solar neutrino spin-flavor precession in a three generation context M. M. Guzzo, P. C. de Holanda, and O. L. G. Peres 1 Instituto de F́ısica Gleb Wataghin UNICAMP, 13083-970 Campinas SP, Brazil 2 Instituto de F́ısica, Universidade de São Paulo, 05315-970, São Paulo SP, Brazil We study the effect of random magnetic field...

In view of the forthcoming results on W± pair production at LEP 2, we emphasize that direct empirical evidence on non-trivial properties of the weak vector bosons can be obtained with relatively limited integrated luminosity. An integrated luminosity of 10 pb at √ s = 175 GeV will be sufficient to provide direct experimental evidence for non-vanishing self-couplings of nonAbelian type among the...

background: congenital adrenal hyperplasia (cah) and vanishing testes are uncommon diseases that can result from hormonal and mechanical factors. classic cah is determined by ambiguous genitalia and increase in amount of 17-hydroxyprogesterone. simultaneous occurrence of cah and vanishing testes is a rare condition. case: a 22-year-old boy, known case of cah who was diagnosed as female pseudohe...

Plate-type structural members are commonly used in engineering applications like aircraft, ships nuclear reactors etc. These structural members often have cracks arising from manufacture or from material defects or stress concentrations. Designing a structure against fracture in service involves consideration of strength of the structure as a function of crack size, dimension and the applied lo...

We consider a chiral gauge theory from which light composite Dirac neutrinos dynamically emerge, augmented by QCD axion to solve the strong $CP$ problem. show that an interplay between sector and can also simultaneously lead successful baryogenesis generate correct dark matter abundance via ``cogenesis'' without contradicting present constraints. predict $\mathrm{\ensuremath{\Delta}}{N}_{\mathr...

The Welch Bound is a lower bound on the root mean square cross correlation between n unit-norm vectors f1, ..., fn in the m dimensional space (Rm or Cm), for n ≥ m. Letting F = [f1|...|fn] denote the m-by-n frame matrix, the Welch bound can be viewed as a lower bound on the second moment of F , namely on the trace of the squared Gram matrix (F ′F ). We consider an erasure setting, in which a re...

Lorentz’ objection to the Uhlenbeck-Goudsmit proposal of a spin magnetic moment of the electron, namely that the electron’s equatorial rotation speed would exceed the speed of light by a factor ≈ 10, mutated into an objection against Lorentz electrodynamics (LED) itself when the spin magnetic moment became established. However, Lorentz’ renormalization calculation, based on the early 20th centu...

We study the various linear responses of neutron stars to external relativistic tidal fields. We focus on three different tidal responses, associated to three different tidal coefficients: (i) a gravito-electrictype coefficient Gμl = [length] 2l+1 measuring the l-order mass multipolar moment GMa1...al induced in a star by an external l-order gravito-electric tidal field Ga1...al ; (ii) a gravit...