2,700 research outputs found
Compound Multiple Access Channels with Partial Cooperation
A two-user discrete memoryless compound multiple access channel with a common
message and conferencing decoders is considered. The capacity region is
characterized in the special cases of physically degraded channels and
unidirectional cooperation, and achievable rate regions are provided for the
general case. The results are then extended to the corresponding Gaussian
model. In the Gaussian setup, the provided achievable rates are shown to lie
within some constant number of bits from the boundary of the capacity region in
several special cases. An alternative model, in which the encoders are
connected by conferencing links rather than having a common message, is studied
as well, and the capacity region for this model is also determined for the
cases of physically degraded channels and unidirectional cooperation. Numerical
results are also provided to obtain insights about the potential gains of
conferencing at the decoders and encoders.Comment: Submitted to IEEE Transactions on Information Theor
Relaying Simultaneous Multicast Messages
The problem of multicasting multiple messages with the help of a relay, which
may also have an independent message of its own to multicast, is considered. As
a first step to address this general model, referred to as the compound
multiple access channel with a relay (cMACr), the capacity region of the
multiple access channel with a "cognitive" relay is characterized, including
the cases of partial and rate-limited cognition. Achievable rate regions for
the cMACr model are then presented based on decode-and-forward (DF) and
compress-and-forward (CF) relaying strategies. Moreover, an outer bound is
derived for the special case in which each transmitter has a direct link to one
of the receivers while the connection to the other receiver is enabled only
through the relay terminal. Numerical results for the Gaussian channel are also
provided.Comment: This paper was presented at the IEEE Information Theory Workshop,
Volos, Greece, June 200
On Cosmall Abelian Groups
It is a well-known homological fact that every Abelian groupGhas the property that Hom(G,−)com-mutes with direct products. Here we investigate the ‘dual’ property: an Abelian groupGis said to be cosmallif Hom(−,G)commutes with direct products. We show that cosmall groups are cotorsion-free and that nogroup of cardinality less than a strongly compact cardinal can be cosmall. In particular, if there is a properclass of strongly compact cardinals, then there are no cosmall grou
On Cosmall Abelian Groups
It is a well-known homological fact that every Abelian group G has the property that Hom(G,−) commutes with direct products. Here we investigate the ‘dual’ property: an Abelian group G is said to be cosmall if Hom(−,G) commutes with direct products. We show that cosmall groups are cotorsion-free and that no group of cardinality less than a strongly compact cardinal can be cosmall. In particular, if there is a proper class of strongly compact cardinals, then there are no cosmall groups
If the world were a village of 100 people...
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Parsing the content of bank supervision
We measure bank supervision using the database of supervisory issues, known as matters requiring attention or immediate attention, raised by Federal Reserve examiners to banking organizations. The volume of supervisory issues increases with banks' asset size, especially for the largest and most complex banks, and decreases with profitability and the quality of the loan portfolio. Stressed banks are faster at resolving issues, but all else equal, resolving new issues takes longer the more issues a bank faces, which may suggest capacity constraints in addressing multiple supervisory issues. Using computational linguistic methods on the text of the issue description, we define five categorical issue topics. The subset of issues related to capital levels and loan portfolio are the most consequential in terms of supervisory rating downgrades and are directly related to changes in banks' balance sheet characteristics and profitability. Other issues appear to reflect soft information and are less correlated with bank observables. By categorizing questions asked by analysts at banks' quarterly earnings calls using the same linguistic approach, we find that market monitors raise issues similar to those of supervisors when the issues are related to hard information (such as loan quality or capital) and public supervisory assessment programs
Radial molecular abundances and gas cooling in starless cores
Aims: We aim to simulate radial profiles of molecular abundances and the gas
temperature in cold and heavily shielded starless cores by combining chemical
and radiative transfer models. Methods: A determination of the dust temperature
in a modified Bonnor-Ebert sphere is used to calculate initial radial molecular
abundance profiles. The abundances of selected cooling molecules corresponding
to two different core ages are then extracted to determine the gas temperature
at two time steps. The calculation is repeated in an iterative process yielding
molecular abundances consistent with the gas temperature. Line emission
profiles for selected substances are calculated using simulated abundance
profiles. Results: The gas temperature is a function of time; the gas heats up
as the core gets older because the cooling molecules are depleted onto grain
surfaces. The contributions of the various cooling molecules to the total
cooling power change with time. Radial chemical abundance profiles are
non-trivial: different species present varying degrees of depletion and in some
cases inward-increasing abundances profiles, even at t > 10^5 years. Line
emission simulations indicate that cores of different ages can present
significantly different line emission profiles, depending on the tracer species
considered. Conclusions: Chemical abundances and the associated line cooling
power change as a function of time. Most chemical species are depleted onto
grain surfaces at densities exceeding ~10^5 cm^-3. Notable exceptions are NH_3
and N2H^+; the latter is largely undepleted even at n_H~10^6 cm-3. On the other
hand, chemical abundances are not significantly developed in regions of low gas
density even at t~10^5 years, revealed by inward-increasing abundance
gradients. The gas temperature can be significantly different from the dust
temperature; this may have implications on core stability.Comment: Accepted for publication in A&A, above abstract shortened to fit
arXiv forma
Searching for O in the SMC:Constraints on Oxygen Chemistry at Low Metallicities
We present a 39 h integration with the Odin satellite on the ground-state
118.75 GHz line of O2 towards the region of strongest molecular emission in the
Small Magellanic Cloud. Our 3sigma upper limit to the O2 integrated intensity
of <0.049 K km/s in a 9'(160 pc) diameter beam corresponds to an upper limit on
the O2/H2 abundance ratio of <1.3E-6. Although a factor of 20 above the best
limit on the O2 abundance obtained for a Galactic source, our result has
interesting implications for understanding oxygen chemistry at sub-solar metal
abundances. We compare our abundance limit to a variety of astrochemical models
and find that, at low metallicities, the low O2 abundance is most likely
produced by the effects of photo-dissociation on molecular cloud structure.
Freeze-out of molecules onto dust grains may also be consistent with the
observed abundance limit, although such models have not yet been run at
sub-solar initial metallicities.Comment: 4 pages, accepted to A&A Letter
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