4,083 research outputs found
Optimal quantization for infinite nonhomogeneous distributions on the real line
Quantization for probability distributions concerns the best approximation of
a -dimensional probability distribution by a discrete probability with a
given number of supporting points. In this paper, an infinitely generated
nonhomogeneous Borel probability measure is considered on . For
such a probability measure , an induction formula to determine the optimal
sets of -means and the th quantization error for every natural number
is given. In addition, using the induction formula we give some results and
observations about the optimal sets of -means for all .Comment: arXiv admin note: text overlap with arXiv:1512.0037
Magnetoconductivity in chiral Lifshitz hydrodynamics
In this paper, based on the principles of linear response theory, we compute
the longitudinal DC conductivity associated with Lifshitz like fixed points in
the presence of chiral anomalies in () dimensions. In our analysis,
apart from having the usual anomalous contributions due to chiral anomaly, we
observe an additional and pure \textit{parity odd} effect to the
magnetoconductivity which has its origin in the broken Lorentz (boost)
invariance at a Lifshitz fixed point. We also device a holographic set up in
order to compute () Lifshitz contributions to the magnetoconductivity
precisely at strong coupling and low charge density limit.Comment: Minor clarifications added, Version To Appear In JHE
Holographic charge transport in non commutative gauge theories
In this paper, based on the holographic techniques, we explore the
hydrodynamics of charge diffusion phenomena in non commutative SYM plasma at strong coupling. In our analysis, we compute the charge
diffusion rates both along commutative as well as the non commutative
coordinates of the brane. It turns out that unlike the case for the shear
viscosity, the DC conductivity along the non commutative direction of the brane
differs significantly from that of its cousin corresponding to the commutative
direction of the brane. Such a discrepancy however smoothly goes away in the
limit of the vanishing non commutativity.Comment: Latex, 11 pages, Version to appear in JHE
Stringy correlations on deformed
In this paper, following the basic prescriptions of Gauge/String duality, we
perform a strong coupling computation on \textit{classical} two point
correlation between \textit{local} (single trace) operators in a gauge theory
dual to -deformed background. Our construction
is based on the prescription that relates every local operator in a gauge
theory to that with the (semi)classical string states propagating within the
\textit{physical} region surrounded by the holographic screen in deformed . In our analysis, we treat strings as being that of a point like object
located near the physical boundary of the - deformed Euclidean
Poincare and as an extended object with non trivial dynamics
associated to . It turns out that in the presence of small background
deformations, the usual power law behavior associated with two point functions
is suppressed exponentially by a non trivial factor which indicates a faster
decay of two point correlations with larger separations. On the other hand, in
the limit of large background deformations (), the
corresponding two point function reaches a point of saturation. In our
analysis, we also compute finite size corrections associated with these two
point functions at strong coupling. As a consistency check of our analysis, we
find perfect agreement between our results to that with the earlier
observations made in the context of vanishing deformation.Comment: Typos fixed, Published Versio
- …