63,883 research outputs found
Linear Codes are Optimal for Index-Coding Instances with Five or Fewer Receivers
We study zero-error unicast index-coding instances, where each receiver must
perfectly decode its requested message set, and the message sets requested by
any two receivers do not overlap. We show that for all these instances with up
to five receivers, linear index codes are optimal. Although this class contains
9847 non-isomorphic instances, by using our recent results and by properly
categorizing the instances based on their graphical representations, we need to
consider only 13 non-trivial instances to solve the entire class. This work
complements the result by Arbabjolfaei et al. (ISIT 2013), who derived the
capacity region of all unicast index-coding problems with up to five receivers
in the diminishing-error setup. They employed random-coding arguments, which
require infinitely-long messages. We consider the zero-error setup; our
approach uses graph theory and combinatorics, and does not require long
messages.Comment: submitted to the 2014 IEEE International Symposium on Information
Theory (ISIT
Stringy Stability of Dilaton Black Holes in 5-Dimensional Anti-de Sitter Space
Flat electrical charged black holes in 5-dimensional anti-de Sitter space
have been applied to the study of the phase diagram of quark matter via AdS/CFT
correspondence. In such application it is argued that since the temperature of
the quark gluon plasma is bounded away from zero, the dual black hole cannot be
arbitrarily cold, but becomes unstable due to stringy instability once it
reaches sufficiently low temperature. We study the stringy stability of flat
dilaton black holes with dilaton coupling in asymptotically anti-de
Sitter space and show that unlike the purely electrically charged black hole,
these dilaton black holes do not suffer from stringy instability.Comment: Published in Proceedings of the Conference in Honor of Murray
Gell-Mann's 80th Birthday, p.583-590, World Scientific, 2010, Singapor
Hawking Evaporation Time Scale of Topological Black Holes in Anti-de Sitter Spacetime
It was recently pointed out that if an absorbing boundary condition is
imposed at infinity, an asymptotically anti-de Sitter Schwarzschild black hole
with a spherical horizon takes only a finite amount of time to evaporate away
even if its initial mass is arbitrarily large. We show that this is a rather
generic property in AdS spacetimes: regardless of their horizon topologies,
neutral AdS black holes in general relativity take about the same amount of
time to evaporate down to the same size of order L, the AdS length scale. Our
discussion focuses on the case in which the black hole has toral event horizon.
A brief comment is made on the hyperbolic case, i.e. for black holes with
negatively curved horizons.Comment: Published versio
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