On a property of random walk polynomials involving Christoffel functions

Discrete-time birth-death processes may or may not have certain properties known as asymptotic aperiodicity and the strong ratio limit property. In all cases known to us a suitably normalized process having one property also possesses the other, suggesting equivalence of the two properties for a normalized process. We show that equivalence may be translated into a property involving Christoffel functions for a type of orthogonal polynomials known as random walk polynomials. The prevalence of this property - and thus the equivalence of asymptotic aperiodicity and the strong ratio limit property for a normalized birth-death process - is proven under mild regularity conditions.Comment: 31 page

High-fidelity atomic-state teleportation protocol with non-maximally-entangled states

We propose a protocol of the long-distance atomic state teleportation via cavity decay, which allows for high-fidelity teleportation even with currently available optical cavities. The protocol is based on the scheme proposed by Bose \emph{et al.} [Phys. Rev. Lett. {\textbf{83}}, 5158 (1999)] but with one important modification: it employs non-maximally-entangled states instead of maximally entangled states.Comment: 8 pages, 6 figures, accepted for publication in Phys. Rev.

Internal conversions in Higgs decays to two photons

We evaluate the partial widths for internal conversions in the Higgs decays to two photons. For the Higgs masses of interest at LHC in the range of 100-150 GeV, the conversions to pairs of fermions represent significant fraction of Higgs decays.Comment: one .tex file and two .eps figure

Tomographic observations of deep convection and the thermal evolution of the Greenland Sea Gyre, 1988-1989

Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution February 1994The thermal evolution of the Greenland Sea Gyre is investigated using both historical data and tomographic results from the 1988-89 Greenland Sea Tomography Experiment. Thermal evolution of the gyre center divides naturally into three periods: a preconditioning phase (November-January), during which surface salinity is increased by brine rejection from ice formation and by entrainment but in which the mixed-layer deepens only slowly to a depth of some 150-200m, a deep mixing phase (February-March) during which the surface mixed-layer deepens rapidly to approximately 1500m in the gyre center purely under the influence of local surface cooling, and a restratification phase during which the products of deep mixing are replaced by inflowing Arctic Intermediate Water (AIW). The onset of the deep mixing phase occurs after ice formation in the gyre center stops, resulting in an area of open water where large heat fluxes can occur. In surrounding regions, including the odden region to the south, ice is still being formed, and the mixed layer does not deepen significantly. To the north and west, closer to the steep topography of the continental shelf, the inverse results show significant variability due to advection, and large temperature and heat content fluctuations with a period of about 50 days are seen. The effects of advection are deduced from heat and salt budgets, and appear to be important only during the restratification phase for intermediate depths, and only during the summer for the surface waters. Comparison of the tomographic results with point measurements indicates that deep mixing occurs in a field of small plumes in which dense water sinks downwards, surrounded by larger regions of upwelling. The plume geometry is consistent with that predicted by numerical and laboratory models. Dynamical processes for bringing the AIW to the surface in order to form deep water are not needed in this scenario, rather the surface waters are modified until they match the density of the AIW after which surface cooling drives convection

Ministerio y vida de los sacerdotes en la diócesis de Katowice (Polonia)

El número y la calidad de las vocaciones es el signo inequívoco de la vitalidad de la fe del pueblo. Hemos pretendido demostrarlo con el ejemplo de la Diócesis de Katowice (Polonia), dando -en base a los documentos de su Primer Sínodo- una visión panorámica del amplio mosaico de la vida del sacerdote y de los fieles . Después del Proemio, que nos ubica en el ambiente religioso -histórico- · cultural de la Diócesis de la Alta Silesia (Katowice), hemos ofrecido, en el segundo capítulo, un pequeño resumen sobre el origen de las vocaciones. Nos parecía necesario, porque la vocación no es tan solo -ni principalmente- el resultado del trabajo pastoral, sino de la donación de Dios. Por otra parte, Dios se sirve de los hombres; por lo tanto hace falta estudiar ambos aspectos

No-local-broadcasting theorem for quantum correlations

We prove that the correlations present in a multipartite quantum state have an \emph{operational} quantum character as soon as the state does not simply encode a multipartite classical probability distribution, i.e. does not describe the joint state of many classical registers. Even unentangled states may exhibit such \emph{quantumness}, that is pointed out by the new task of \emph{local broadcasting}, i.e. of locally sharing pre-established correlations: this task is feasible if and only if correlations are classical and derive a no-local-broadcasting theorem for quantum correlations. Thus, local broadcasting is able to point out the quantumness of correlations, as standard broadcasting points out the quantum character of single system states. Further, we argue that our theorem implies the standard no-broadcasting theorem for single systems, and that our operative approach leads in a natural way to the definition of measures for quantumness of correlations.Comment: 5 pages, various changes (title, shortened, references added, corrected typos,...), submitte