365 research outputs found
On high brightness temperature of pulsar giant pulses
A wide range of events observed at the giant pulses (high energy density,
observed localization of giant pulses (GPs) relative to the average pulse, fine
structure of GPs with duration up to some nanoseconds, observed circular
polarization of GPs, correlation between the GP phase and the phase of the hard
pulsar emission X-ray and gamma) can be explained from the viewpoint that the
internal polar gap is a cavity-resonator stimulated by discharges and radiating
through the breaks in the magnetosphere. The new results in this field [the
electromagnetic (em) waves generation in the gap in the process of longitudinal
acceleration in the electric field vanishing on the star surface, high
frequency break in the spectrum as a result of switching off this generation,
formation in this process a power-low spectrum with a high frequency (hf)
break, the possibility determination of pulsar magnetic field by the hf break
position, the difference between main pulse and inter pulse mechanism
generation, quantization of em tornado rotation in the gap and appearance of
the bands in the inter pulse spectrum, influence the high energy density in the
gap on pair generation and position of the dead line in pulsars] are added in
the intermediate epilogue.Comment: 14 pages, 2 Postscript figures; added Appendix D (Intermediate
Epilogue) with 20 references. The 8th International Conference on Physics of
Neutron Stars in Saint-Petersburg,2008. Printed in Journal of Physical
Science and Application 5 (2015) 48-6
The Hyperbolic Lattice Point Count in Infinite Volume with Applications to Sieves
We develop novel techniques using abstract operator theory to obtain
asymptotic formulae for lattice counting problems on infinite-volume hyperbolic
manifolds, with error terms which are uniform as the lattice moves through
"congruence" subgroups.
We give the following application to the theory of affine linear sieves. In
the spirit of Fermat, consider the problem of primes in the sum of two squares,
f(c,d)=c^2+d^2, but restrict (c,d) to the orbit O = (0,1).Gamma, where Gamma is
an infinite-index non-elementary finitely-generated subgroup of SL(2,Z). Assume
that the Reimann surface Gamma\H^2 has a cusp at infinity. We show that the set
of values f(O) contains infinitely many integers having at most R prime factors
for any R>4/(delta-theta), where theta>1/2 is the spectral gap and delta<1 is
the Hausdorff dimension of the limit set of Gamma. If delta>149/150, then we
can take theta=5/6, giving R=25. The limit of this method is R=9 for
delta-theta>4/9. This is the same number of prime factors as attained in Brun's
original attack on the twin prime conjecture.Comment: 33 pages, 1 figure, minor corrections. To appear, Duke Math
The use of gravitational lenses in the study of distant galaxy mergers
Gravlenses are efficiently explored for detecting the most distant galaxies
(up to z=10 redshifts). As an example of the role played by gravlenses we refer
to the observation of the galaxy merger at z=3 (Borys, et al; Berciano Alba, et
al). We derived solutions for the Smoluchowski kinetic equation for the mass
function of galaxies, which describes mergers in differential approximation
(minor mergers).
It is shown that the evolution of the slope of luminosity function observed
in the Ultra Deep Hubble Field (Bouwence et al) can be described as a result of
explosive evolution driven by galaxy mergers.Comment: 7 pages, 2 Postscript figures, The Report on the International
Conference Electromagnetic Methods of Environmental Studies EMES-2012
deducated to memory of prof. Pavel Victorovich Bliokh, Kharkov, Ukraine,
2012. Abstracts, pp. 160-16
Magnetic properties of periodic nonuniform spin-1/2 chains in a random Lorentzian transverse field
Using continued fractions we examine the density of states, transverse
magnetization and static transverse linear susceptibility of a few periodic
nonuniform spin-1/2 chains in a random Lorentzian transverse field.Comment: 3 figure
Stochastic Models for the 3x+1 and 5x+1 Problems
This paper discusses stochastic models for predicting the long-time behavior
of the trajectories of orbits of the 3x+1 problem and, for comparison, the 5x+1
problem. The stochastic models are rigorously analyzable, and yield heuristic
predictions (conjectures) for the behavior of 3x+1 orbits and 5x+1 orbits.Comment: 68 pages, 9 figures, 4 table
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