7,016 research outputs found
Bayesian Model Selection for Beta Autoregressive Processes
We deal with Bayesian inference for Beta autoregressive processes. We
restrict our attention to the class of conditionally linear processes. These
processes are particularly suitable for forecasting purposes, but are difficult
to estimate due to the constraints on the parameter space. We provide a full
Bayesian approach to the estimation and include the parameter restrictions in
the inference problem by a suitable specification of the prior distributions.
Moreover in a Bayesian framework parameter estimation and model choice can be
solved simultaneously. In particular we suggest a Markov-Chain Monte Carlo
(MCMC) procedure based on a Metropolis-Hastings within Gibbs algorithm and
solve the model selection problem following a reversible jump MCMC approach
Pair-production of charged Dirac particles on charged Nariai and ultracold black hole manifolds
Spontaneous loss of charge by charged black holes by means of pair-creation
of charged Dirac particles is considered. We provide three examples of exact
calculations for the spontaneous discharge process for 4D charged black holes
by considering the process on three special non-rotating de Sitter black hole
backgrounds, which allow to bring back the problem to a Kaluza-Klein reduction.
Both the zeta-function approach and the transmission coefficient approach are
taken into account. A comparison between the two methods is also provided, as
well as a comparison with WKB results. In the case of non-zero temperature of
the geometric background, we also discuss thermal effects on the discharge
process.Comment: 27 page
E7 groups from octonionic magic square
In this paper we continue our program, started in [2], of building up
explicit generalized Euler angle parameterizations for all exceptional compact
Lie groups. Here we solve the problem for E7, by first providing explicit
matrix realizations of the Tits construction of a Magic Square product between
the exceptional octonionic algebra J and the quaternionic algebra H, both in
the adjoint and the 56 dimensional representations. Then, we provide the Euler
parametrization of E7 starting from its maximal subgroup U=(E6 x U(1))/Z3.
Next, we give the constructions for all the other maximal compact subgroups.Comment: 23 pages, added sections with new construction
Exact quantisation of the relativistic Hopfield model
We investigate the quantisation in the Heisenberg representation of a
relativistically covariant version of the Hopfield model for dielectric media,
which entails the interaction of the quantum electromagnetic field with the
matter dipole fields. The matter fields are represented by a mesoscopic
polarization field. A full quantisation of the model is provided in a covariant
gauge, with the aim of maintaining explicit relativistic covariance. Breaking
of the Lorentz invariance due to the intrinsic presence in the model of a
preferred reference frame is also taken into account. Relativistic covariance
forces us to deal with the unphysical (scalar and longitudinal) components of
the fields, furthermore it introduces, in a more tricky form, the well-known
dipole ghost of standard QED in a covariant gauge. In order to correctly
dispose of this contribution, we implement a generalized Lautrup trick.
Furthermore, causality and the relation of the model with the Wightman axioms
are also discussed.Comment: 24 page
Path integral quantization of the relativistic Hopfield model
The path integral quantization method is applied to a relativistically
covariant version of the Hopfield model, which represents a very interesting
mesoscopic framework for the description of the interaction between quantum
light and dielectric quantum matter, with particular reference to the context
of analogue gravity. In order to take into account the constraints occurring in
the model, we adopt the Faddeev-Jackiw approach to constrained quantization in
the path integral formalism. In particular we demonstrate that the propagator
obtained with the Faddeev-Jackiw approach is equivalent to the one which, in
the framework of Dirac canonical quantization for constrained systems, can be
directly computed as the vacuum expectation value of the time ordered product
of the fields. Our analysis also provides an explicit example of quantization
of the electromagnetic field in a covariant gauge and coupled with the
polarization field, which is a novel contribution to the literature on the
Faddeev-Jackiw procedure.Comment: 16 page
Dissecting Kinematics and Stellar Populations of Counter-Rotating Galaxies with 2-Dimensional Spectroscopy
We present a spectral decomposition technique and its applications to a
sample of galaxies hosting large-scale counter-rotating stellar disks. Our
spectral decomposition technique allows to separate and measure the kinematics
and the properties of the stellar populations of both the two counter-rotating
disks in the observed galaxies at the same time. Our results provide new
insights on the epoch and mechanism of formation of these galaxies.Comment: 4 pages, 3 figures. Contributed talk presented at the Conference
"Multi-Spin galaxies", September 30 - October 3, 2013, INAF-Astronomical
Observatory of Capodimonte, Naples, Italy. To be published in ASP Conf. Ser.,
Multi-Spin Galaxies, ed. E. Iodice & E. M. Corsini (San Francisco: ASP
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