5,685 research outputs found
On dynamics of semiconjugated entire functions
Let and be transcendental entire functions and let be a
continuous map of the complex plane into itself with Then
and are said to be semiconjugated by and is called a
semiconjugacy. We consider the dynamical properties of semiconjugated
transcendental entire functions and and provide several conditions
under which the semiconjugacy carries Fatou set of one entire function into
the Fatou set of other entire function appearing in the semiconjugation. We
have also shown that under certain condition on the growth of entire functions
appearing in the semiconjugation, the set of asymptotic values of the
derivative of composition of the entire functions is bounded.Comment: 6 pages, accepted for publication in J.Ind.Math.Soc. arXiv admin
note: substantial text overlap with arXiv:1307.578
Flash of Prompt Photons from the Early Stage of Heavy-Ion Collisions
We briefly recall the tremendous strides in the studies of the parton cascade
model made by Klaus Geiger. Next, we argue that photons may provide
confirmation of several of these ideas. Thus we know that, copious internetted
partonic cascades may develop in the wake of relativistic collisions of nuclei
at CERN SPS and BNL RHIC energies, We use the parton cascade model to estimate
the emission of single photons generated from such cascades due to the
branching of quarks , scattering of quarks and gluons, and
annihilation of quarks. The formation of a hot and dense partonic matter is
shown to be preceded by an intense radiation of photons from the QED branching
of quarks. This is similar to the QCD branching which along with the
gluon multiplication () which is known to play a crucial role in the
formation of the dense partonic plasma.Comment: 14 pages, including 4 figures. Contribution to Proceedings of ``Kay
Kay Gee Day- Klaus Kinder-Geiger Memorial Workshop'' held at Brookhaven
National Lab, October 23, 199
Scaling of single photon production in hadronic collisions
Scaling of single photon production in and collisions is
studied. It is empirically observed the available data scales for and for larger . The NLO pQCD predictions for
collisions at of 200 and 5500 GeV, relevant for RHIC and LHC
energies are seen to closely follow this scaling behaviour. Implications for
single photon production in heavy ion collisions are discussed.Comment: 4 pages including 5 figures. Figure 5 changed to include correct
two-loop contributions. (Submitted to Eur. Phys. J. C.
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