Stationary distributions of sums of marginally chaotic variables as renormalization group fixed points

We determine the limit distributions of sums of deterministic chaotic variables in unimodal maps assisted by a novel renormalization group (RG) framework associated to the operation of increment of summands and rescaling. In this framework the difference in control parameter from its value at the transition to chaos is the only relevant variable, the trivial fixed point is the Gaussian distribution and a nontrivial fixed point is a multifractal distribution with features similar to those of the Feigenbaum attractor. The crossover between the two fixed points is discussed and the flow toward the trivial fixed point is seen to consist of a sequence of chaotic band mergers.Comment: 7 pages, 2 figures, to appear in Journal of Physics: Conf.Series (IOP, 2010

The Neutral Interest Rate: Estimates for Chile

To estimate the neutral real interest rate for Chile, we use a variety of methods that can be classified into three categories: those derived from economic theory, the neutral rate implicit in financial assets, and statistical procedures using macroeconomic data. We conclude that the neutral rate is not constant over time, but it is closely related with—though not equivalent to—the potential GDP growth rate. The application of the different methods yields fairly similar results. The neutral real interest rate for Chile seems to be in the range from 2.1% to 3.5%, with a median of 2.8% taking data of the fourth quarter of 2007.

Renormalization group structure for sums of variables generated by incipiently chaotic maps

We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of summands and rescaling. In this structure - where the only relevant variable is the difference in control parameter from its value at the transition to chaos - the trivial fixed point is the Gaussian distribution and a novel nontrivial fixed point is a multifractal distribution that emulates the Feigenbaum attractor, and is universal in the sense of the latter. The crossover between the two fixed points is explained and the flow toward the trivial fixed point is seen to be comparable to the chaotic band merging sequence. We discuss the nature of the Central Limit Theorem for deterministic variables.Comment: 14 pages, 5 figures, to appear in Journal of Statistical Mechanic

The output Gap in chile: Measurement and Evaluation

This paper estimates potential GDP growth and output gaps for the period 1986-2007 using three different methodologies: (i) production function, (ii) Kalman filter proxy (univariate and multivariate) and (iii) structural VAR . The output gap estimates show a high degree of mutual consistency. The methods suggest that at the beginning of the sample period the economy was overheated with considerably wide positive gaps. From 1993 through the Asian crisis, the gap was positive but small. From the crisis onwards estimates show a negative gap with a mild trend to close, but becomes positive in 2007. To evaluate the different gap measurements, real-time estimates are compared with ex-post estimates in terms of their capacity for forecasting future inflation. For potential GDP growth, the different methods yield similar results. For the full period, trend GDP growth is estimated at around 5.5%. However, significant differences exist across sub-periods, particularly showing a deceleration in the aftermath of the 1999 recession.

Análisis funcional y cinemático de la marcha en un paciente con lesión medular lumbar incompleta

Este estudio de investigación pretende analizar la evolución de la marcha en un paciente con lesión medular incompleta, tras ser sometido a un programa de entrenamiento de la marcha de forma asistida con soporte parcial del peso corporal con el sistema Lokomat®. Para ello se ha realizado una exploración física y funcional con las escalas de evaluación más utilizadas a éste nivel, conjuntamente con el análisis videográfico, permitiéndonos observar correlaciones entre los datos obtenidos en los apartados de pasos por minuto, velocidad y longitud de paso. Para poder corroborar estos datos, se ha realizado un estudio cinemático utilizando dos cámaras de alta definición, con una velocidad de filmación fijada en 100 imágenes por segundo, procesadas directamente a un ordenador, y realizando la Transformación de 2D a 3D, con el método Direct Linear Transformation (DLT) dado por el Performance Analysis System (APAS).The aim of this research study is to analyze the evolution of gait in a patient with incomplete lumbar spine injury, who was placed on an assisted gait training program with partial body-weight support using the Lokomat® system. A physical and functional assessment was carried out taking into account standard evaluation scales together with video analysis, which allowed us to observe correlations between the data collected for steps per minute, step speed and step length. To corroborate these data, a kinematic study was carried out using two high-resolution cameras with a shooting speed fixed at 100 images per second. Images were transferred directly to a computer and converted from 2D to 3D using the Direct Linear Transformation (DLT) method in the Ariel Performance Analysis System (APAS).Peer Reviewe

Probing the innermost regions of AGN jets and their magnetic fields with RadioAstron II. Observations of 3C 273 at minimum activity

RadioAstron is a 10 m orbiting radio telescope mounted on the Spektr-R satellite, launched in 2011, performing Space Very Long Baseline Interferometry (SVLBI) observations supported by a global ground array of radio telescopes. With an apogee of about 350 000 km, it is offering for the first time the possibility to perform {\mu}as-resolution imaging in the cm-band. We present observations at 22 GHz of 3C 273, performed in 2014, designed to reach a maximum baseline of approximately nine Earth diameters. Reaching an angular resolution of 0.3 mas, we study a particularly low-activity state of the source, and estimate the nuclear region brightness temperature, comparing with the extreme one detected one year before during the RadioAstron early science period. We also make use of the VLBA-BU-BLAZAR survey data, at 43 GHz, to study the kinematics of the jet in a 1.5-year time window. We find that the nuclear brightness temperature is two orders of magnitude lower than the exceptionally high value detected in 2013 with RadioAstron at the same frequency (1.4x10^13 K, source-frame), and even one order of magnitude lower than the equipartition value. The kinematics analysis at 43 GHz shows that a new component was ejected 2 months after the 2013 epoch, visible also in our 22 GHz map presented here. Consequently this was located upstream of the core during the brightness temperature peak. These observations confirm that the previously detected extreme brightness temperature in 3C 273, exceeding the inverse Compton limit, is a short-lived phenomenon caused by a temporary departure from equipartition. Thus, the availability of interferometric baselines capable of providing {\mu}as angular resolution does not systematically imply measured brightness temperatures over the known physical limits for astrophysical sources.Comment: Accepted for publication in A&

Performing the paradox: collaboration as intervention in Eis o Homem

After the economic crisis of 2008, Portugal, like other European countries, underwent a readjustment programme based on neo-liberal principles. This programme widened the gap between rich and poor and elevated the economic over the social, the political and the affective. This paper analyses the devised performance Eis o Homem (Behold Man) as both an artistic and intellectual intervention in this context of crisis. It suggests that collaboration between artists on an explicitly non-hierarchical basis functioned as a coping mechanism for both the artists involved and the audience. The material generated during rehearsals contrasted the powerful reality of life as lived by Portuguese citizens during this period with the Real, that, as Slavoj Zizek has argued, masked this reality with social discourses that emphasized that there was no alternative to the dominance of the market. It concludes that such forms of theatrical collaboration, which explicitly contemplate the right to dissensus, can lead to complex, transformative responses to social situations and to dialogically-informed performances