2,007 research outputs found
On a family of complex algebraic surfaces of degree 3n
We study a class of algebraic surfaces of degree 3n in the complex projective
space with only ordinary double points. They are obtained by using bivariate
polynomials with complex coefficients related to the generalized cosine
associated to the affine Weyl group of the root system A2.Comment: 4 pages, 2 figure
A Data Fusion Technique to Detect Wireless Network Virtual Jamming Attacks
The file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.Wireless communications are potentially exposed to jamming due to the openness of the medium and, in particular, to virtual jamming, which allows more energy-efficient attacks. In this paper we tackle the problem of virtual jamming attacks on IEEE 802.11 networks and present a data fusion solution for the detection of a type of virtual jamming attack (namely, NAV attacks), based on the real-time monitoring of a set of metrics. The detection performance is evaluated in a number of real scenarios
Regional coherence evaluation in mild cognitive impairment and Alzheimer's disease based on adaptively extracted magnetoencephalogram rhythms
This study assesses the connectivity alterations caused by Alzheimer's disease (AD) and mild cognitive impairment (MCI) in magnetoencephalogram (MEG) background activity. Moreover, a novel methodology to adaptively extract brain rhythms from the MEG is introduced. This methodology relies on the ability of empirical mode decomposition to isolate local signal oscillations and constrained blind source separation to extract the activity that jointly represents a subset of channels. Inter-regional MEG connectivity was analysed for 36 AD, 18 MCI and 26 control subjects in δ, θ, α and β bands over left and right central, anterior, lateral and posterior regions with magnitude squared coherence—c(f). For the sake of comparison, c(f) was calculated from the original MEG channels and from the adaptively extracted rhythms. The results indicated that AD and MCI cause slight alterations in the MEG connectivity. Computed from the extracted rhythms, c(f) distinguished AD and MCI subjects from controls with 69.4% and 77.3% accuracies, respectively, in a full leave-one-out cross-validation evaluation. These values were higher than those obtained without the proposed extraction methodology
Two species coagulation approach to consensus by group level interactions
We explore the self-organization dynamics of a set of entities by considering
the interactions that affect the different subgroups conforming the whole. To
this end, we employ the widespread example of coagulation kinetics, and
characterize which interaction types lead to consensus formation and which do
not, as well as the corresponding different macroscopic patterns. The crucial
technical point is extending the usual one species coagulation dynamics to the
two species one. This is achieved by means of introducing explicitly solvable
kernels which have a clear physical meaning. The corresponding solutions are
calculated in the long time limit, in which consensus may or may not be
reached. The lack of consensus is characterized by means of scaling limits of
the solutions. The possible applications of our results to some topics in which
consensus reaching is fundamental, like collective animal motion and opinion
spreading dynamics, are also outlined
Nonlinear field theories during homogeneous spatial dilation
The effect of a uniform dilation of space on stochastically driven nonlinear
field theories is examined. This theoretical question serves as a model problem
for examining the properties of nonlinear field theories embedded in expanding
Euclidean Friedmann-Lema\^{\i}tre-Robertson-Walker metrics in the context of
cosmology, as well as different systems in the disciplines of statistical
mechanics and condensed matter physics. Field theories are characterized by the
speed at which they propagate correlations within themselves. We show that for
linear field theories correlations stop propagating if and only if the speed at
which the space dilates is higher than the speed at which correlations
propagate. The situation is in general different for nonlinear field theories.
In this case correlations might stop propagating even if the velocity at which
space dilates is lower than the velocity at which correlations propagate. In
particular, these results imply that it is not possible to characterize the
dynamics of a nonlinear field theory during homogeneous spatial dilation {\it a
priori}. We illustrate our findings with the nonlinear Kardar-Parisi-Zhang
equation
Algunas soluciones aproximadas para diseños split-plot con matrices de covarianza arbitrarias
El presente trabajo revisa con cierto detalle diversos tipos de análisis para diseños split-plot que carecen del mismo número de unidades experimentales dentro de cada grupo y en los que se incumple el supuesto de esfericidad multimuestral. EspecÃficamente, adoptando el enfoque multivariado de aproximar los grados de libertad desarrollado por Johansen (1980) y el procedimiento de aproximación general mejorada corregida basado en Huynh (1980) se muestra cómo obtener análisis robustos y poderosos a la hora de probar los efectos principales y la interacción, asà como hipótesis de comparaciones múltiples relacionadas con estos efectos, tanto si se cuenta con una simple variable dependiente asociada con cada una de las medidas repetidas como si se cuenta con más de una
Measuring Complexity of Biomedical Signals
Measuring complexity of biomedical signals
- …