7,312 research outputs found
A statistical superfield and its observable consequences
A new kind of fundamental superfield is proposed, with an Ising-like
Euclidean action. Near the Planck energy it undergoes its first stage of
symmetry-breaking, and the ordered phase is assumed to support specific kinds
of topological defects. This picture leads to a low-energy Lagrangian which is
similar to that of standard physics, but there are interesting and observable
differences. For example, the cosmological constant vanishes, fermions have an
extra coupling to gravity, the gravitational interaction of W-bosons is
modified, and Higgs bosons have an unconventional equation of motion.Comment: 35 pages, LaTe
EPR Steering Inequalities from Entropic Uncertainty Relations
We use entropic uncertainty relations to formulate inequalities that witness
Einstein-Podolsky-Rosen (EPR) steering correlations in diverse quantum systems.
We then use these inequalities to formulate symmetric EPR-steering inequalities
using the mutual information. We explore the differing natures of the
correlations captured by one-way and symmetric steering inequalities, and
examine the possibility of exclusive one-way steerability in two-qubit states.
Furthermore, we show that steering inequalities can be extended to generalized
positive operator valued measures (POVMs), and we also derive hybrid-steering
inequalities between alternate degrees of freedom.Comment: 10 pages, 2 figure
Structural graph matching using the EM algorithm and singular value decomposition
This paper describes an efficient algorithm for inexact graph matching. The method is purely structural, that is, it uses only the edge or connectivity structure of the graph and does not draw on node or edge attributes. We make two contributions: 1) commencing from a probability distribution for matching errors, we show how the problem of graph matching can be posed as maximum-likelihood estimation using the apparatus of the EM algorithm; and 2) we cast the recovery of correspondence matches between the graph nodes in a matrix framework. This allows one to efficiently recover correspondence matches using the singular value decomposition. We experiment with the method on both real-world and synthetic data. Here, we demonstrate that the method offers comparable performance to more computationally demanding method
Redistribution, capital income taxation and tax evasion
Factor mobility and tax evasión are two phenomena that constraint the effectiveness
of redistributive policies now used by the member countries of the European Union.
In this paper, a normative analysis of this fact is undertaken using a simple model
with two countries and two social classes, where capital is perfectly mobile and
labour is immobile. Each country complements the income of its workers, assumed to
be poor, with transfers. The latter are financed with two taxes on capital income. The
first one, following the origin principie, alters the retum and intemational allocation
of capital. The second one, following the residence principie, induces the evasión of
capitalists' incomes. Each government chooses the optimal mix of capital taxes that
maximizes the welfare of its citizens with no regard on the repercussions on its
neighbour country. A numerical exercise is built to examine the sensitivity of the
resulting non cooperative equilibrium to the aversión to inequality exhibited by the
different governments as well as to the factor endowments of their respective
countries
Complexity Characterization in a Probabilistic Approach to Dynamical Systems Through Information Geometry and Inductive Inference
Information geometric techniques and inductive inference methods hold great
promise for solving computational problems of interest in classical and quantum
physics, especially with regard to complexity characterization of dynamical
systems in terms of their probabilistic description on curved statistical
manifolds. In this article, we investigate the possibility of describing the
macroscopic behavior of complex systems in terms of the underlying statistical
structure of their microscopic degrees of freedom by use of statistical
inductive inference and information geometry. We review the Maximum Relative
Entropy (MrE) formalism and the theoretical structure of the information
geometrodynamical approach to chaos (IGAC) on statistical manifolds. Special
focus is devoted to the description of the roles played by the sectional
curvature, the Jacobi field intensity and the information geometrodynamical
entropy (IGE). These quantities serve as powerful information geometric
complexity measures of information-constrained dynamics associated with
arbitrary chaotic and regular systems defined on the statistical manifold.
Finally, the application of such information geometric techniques to several
theoretical models are presented.Comment: 29 page
Lipid Ion Channels
The interpretation electrical phenomena in biomembranes is usually based on
the assumption that the experimentally found discrete ion conduction events are
due to a particular class of proteins called ion channels while the lipid
membrane is considered being an inert electrical insulator. The particular
protein structure is thought to be related to ion specificity, specific
recognition of drugs by receptors and to macroscopic phenomena as nerve pulse
propagation. However, lipid membranes in their chain melting regime are known
to be highly permeable to ions, water and small molecules, and are therefore
not always inert. In voltage-clamp experiments one finds quantized conduction
events through protein-free membranes in their melting regime similar to or
even undistinguishable from those attributed to proteins. This constitutes a
conceptual problem for the interpretation of electrophysiological data obtained
from biological membrane preparations. Here, we review the experimental
evidence for lipid ion channels, their properties and the physical chemistry
underlying their creation. We introduce into the thermodynamic theory of
membrane fluctuations from which the lipid channels originate. Furthermore, we
demonstrate how the appearance of lipid channels can be influenced by the
alteration of the thermodynamic variables (temperature, pressure, tension,
chemical potentials) in a coherent description that is free of parameters. This
description leads to pores that display dwell times closely coupled to the
fluctuation lifetime via the fluctuation-dissipation theorem. Drugs as
anesthetics and neurotransmitters are shown to influence the channel likelihood
and their lifetimes in a predictable manner. We also discuss the role of
proteins in influencing the likelihood of lipid channel formation.Comment: Revie
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