288,440 research outputs found

    Hook Interpolations

    Get PDF
    The hook components of VβŠ—nV^{\otimes n} interpolate between the symmetric power \sym^n(V) and the exterior power ∧n(V)\wedge^n(V). When VV is the vector space of kΓ—mk\times m matrices over \bbc, we decompose the hook components into irreducible GL_k(\bbc)\times GL_m(\bbc)-modules. In particular, classical theorems are proved as boundary cases. For the algebra of square matrices over \bbc, a bivariate interpolation is presented and studied.Comment: 23 pages; small change

    Can the BBC survive the digital age?

    Get PDF
    The BBC is a public service broadcaster that is highly regarded by the British television audience. However, it is subject to increasing threats to its continuing viability from digital private sector television providers. A part of the threat to the BBC is the way in which it is funded through the TV licence. This article examines the threats to the survival of the BBC through a review of relevant literature and with reference to a survey conducted by the author. The research confirms the high regard in which the BBC is held by the British public and argues for its continuing existence

    Predictions for squeezed back-to-back correlations of ϕϕ\phi\phi and K+Kβˆ’K^+K^- in high-energy heavy-ion collisions by event-by-event hydrodynamics

    Full text link
    We calculate the squeezed back-to-back correlation (BBC) functions of ϕϕ\phi \phi and K+Kβˆ’K^+K^- for heavy-ion collisions at RHIC and LHC energies, using (2+12+1)-dimensional hydrodynamics with fluctuating initial conditions. The BBC functions averaged over event-by-event calculations for many events for the hydrodynamic sources are smoothed as a function of the particle momentum. For heavy-ion collisions of Au+Au at sNN=200\sqrt{s_{NN}}=200 GeV, the BBC functions are larger than those for collisions of Pb+Pb at sNN=2.76\sqrt{s_{NN}}=2.76 TeV. The BBC of ϕϕ\phi\phi may possibly be observed in peripheral collisions at the RHIC and LHC energies. It is large for the smaller sources of Cu+Cu collisions at sNN=200\sqrt{s_{NN}}=200 GeV.Comment: 16 pages, 11 figure
    • …
    corecore