5,371 research outputs found
Ensuring an Impartial Jury in the Age of Social Media
The explosive growth of social networking has placed enormous pressure on one of the most fundamental of American institutions—the impartial jury. Through social networking services like Facebook and Twitter, jurors have committed significant and often high-profile acts of misconduct. Just recently, the Arkansas Supreme Court reversed a death sentence because a juror Tweeted about the case during deliberations. In light of the significant risks to a fair trial that arise when jurors communicate through social media during trial, judges must be vigilant in monitoring for potential outside influences and in deterring misconduct.
In this Article, we present informal survey data from actual jurors on their use of social networking during trial. We discuss the rise of web-based social networks like Facebook and Twitter, and the concerns that arise when jurors communicate about a case through social media before returning a verdict. After surveying how courts have responded to jurors’ social media use, we describe the results of the informal survey. The results support a growing consensus in the legal profession that courts should frequently, as a matter of course, instruct jurors not to use social media to communicate about trial. Although others have stressed the importance of jury instructions in this area, we hope that the informal survey data will further the dialogue by providing an important perspective—that of actual jurors
Simple estimation of absolute free energies for biomolecules
One reason that free energy difference calculations are notoriously difficult
in molecular systems is due to insufficient conformational overlap, or
similarity, between the two states or systems of interest. The degree of
overlap is irrelevant, however, if the absolute free energy of each state can
be computed. We present a method for calculating the absolute free energy that
employs a simple construction of an exactly computable reference system which
possesses high overlap with the state of interest. The approach requires only a
physical ensemble of conformations generated via simulation, and an auxiliary
calculation of approximately equal central-processing-unit (CPU) cost.
Moreover, the calculations can converge to the correct free energy value even
when the physical ensemble is incomplete or improperly distributed. As a "proof
of principle," we use the approach to correctly predict free energies for test
systems where the absolute values can be calculated exactly, and also to
predict the conformational equilibrium for leucine dipeptide in implicit
solvent.Comment: To appear in J. Chem. Phys., 10 pages, 6 figure
Hardness of approximation for quantum problems
The polynomial hierarchy plays a central role in classical complexity theory.
Here, we define a quantum generalization of the polynomial hierarchy, and
initiate its study. We show that not only are there natural complete problems
for the second level of this quantum hierarchy, but that these problems are in
fact hard to approximate. Using these techniques, we also obtain hardness of
approximation for the class QCMA. Our approach is based on the use of
dispersers, and is inspired by the classical results of Umans regarding
hardness of approximation for the second level of the classical polynomial
hierarchy [Umans, FOCS 1999]. The problems for which we prove hardness of
approximation for include, among others, a quantum version of the Succinct Set
Cover problem, and a variant of the local Hamiltonian problem with hybrid
classical-quantum ground states.Comment: 21 pages, 1 figure, extended abstract appeared in Proceedings of the
39th International Colloquium on Automata, Languages and Programming (ICALP),
pages 387-398, Springer, 201
Batalin-Vilkovisky Integrals in Finite Dimensions
The Batalin-Vilkovisky method (BV) is the most powerful method to analyze
functional integrals with (infinite-dimensional) gauge symmetries presently
known. It has been invented to fix gauges associated with symmetries that do
not close off-shell. Homological Perturbation Theory is introduced and used to
develop the integration theory behind BV and to describe the BV quantization of
a Lagrangian system with symmetries. Localization (illustrated in terms of
Duistermaat-Heckman localization) as well as anomalous symmetries are discussed
in the framework of BV.Comment: 35 page
The complexity of 3-colouring H-colourable graphs.
We study the complexity of approximation on satisfiable instances for graph
homomorphism problems. For a fixed graph , the -colouring problem is to
decide whether a given graph has a homomorphism to . By a result of Hell and
Ne\v{s}et\v{r}il, this problem is NP-hard for any non-bipartite graph . In
the context of promise constraint satisfaction problems, Brakensiek and
Guruswami conjectured that this hardness result extends to promise graph
homomorphism as follows: fix any non-bipartite graph and another graph
with a homomorphism from to , it is NP-hard to find a homomorphism to
from a given -colourable graph. Arguably, the two most important special
cases of this conjecture are when is fixed to be the complete graph on 3
vertices (and is any graph with a triangle) and when is the complete
graph on 3 vertices (and is any 3-colourable graph). The former case is
equivalent to the notoriously difficult approximate graph colouring problem. In
this paper, we confirm the Brakensiek-Guruswami conjecture for the latter case.
Our proofs rely on a novel combination of the universal-algebraic approach to
promise constraint satisfaction, that was recently developed by Barto, Bul\'in
and the authors, with some ideas from algebraic topology.Comment: To appear in FOCS 201
A Covariant Approach To Ashtekar's Canonical Gravity
A Lorentz and general co-ordinate co-variant form of canonical gravity, using
Ashtekar's variables, is investigated. A co-variant treatment due to Crnkovic
and Witten is used, in which a point in phase space represents a solution of
the equations of motion and a symplectic functional two form is constructed
which is Lorentz and general co-ordinate invariant. The subtleties and
difficulties due to the complex nature of Ashtekar's variables are addressed
and resolved.Comment: 18 pages, Plain Te
A Dusty Disk Around GD 362, a White Dwarf With a Uniquely High Photospheric Metal Abundance
Eighteen years after an infrared excess was discovered associated with the
white dwarf G29-38, we report ground-based measurements (JHKL'N') with
mJy-level sensitivity of GD 362 that show it to be a second single white dwarf
with an infrared excess. As a first approximation, the excess around GD 362,
which amounts to about 3% of the total stellar luminosity, can be explained by
emission from a passive, flat, opaque dust disk that lies within the Roche
radius of the white dwarf. The dust may have been produced by the tidal
disruption of a large parent body such as an asteroid. Accretion from this
circumstellar disk could account for the remarkably high abundance of metals in
the star's photosphere.Comment: 12 pages, 2 figures. ApJ Letters, in pres
Counting Giant Gravitons in AdS_3
We quantize the set of all quarter BPS brane probe solutions in global AdS_3
\times S^3 \times T^4/K3 found in arxiv:0709.1168 [hep-th]. We show that,
generically, these solutions give rise to states in discrete representations of
the SL(2,R) WZW model on AdS_3. Our procedure provides us with a detailed
description of the low energy 1/4 and 1/2 BPS sectors of string theory on this
background. The 1/4 BPS partition function jumps as we move off the point in
moduli space where the bulk theta angle and NS-NS fields vanish. We show that
generic 1/2 BPS states are protected because they correspond to geodesics
rather than puffed up branes. By exactly quantizing the simplest of the probes
above, we verify our description of 1/4 BPS states and find agreement with the
known spectrum of 1/2 BPS states of the boundary theory. We also consider the
contribution of these probes to the elliptic genus and discuss puzzles, and
their possible resolutions, in reproducing the elliptic genus of the symmetric
product.Comment: 47 pages; (v2) references and minor clarifications adde
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