Homogeneous structures and rigidity of isoparametric submanifolds in Hilbert space

We study isoparametric submanifolds of rank at least two in a separable Hilbert space, which are known to be homogeneous by the main result in [E. Heintze and X. Liu, Ann. of Math. (2), 149 (1999), 149-181], and with such a submanifold M and a point x in M we associate a canonical homogeneous structure I" (x) (a certain bilinear map defined on a subspace of T (x) M x T (x) M). We prove that I" (x) , together with the second fundamental form alpha (x) , encodes all the information about M, and we deduce from this the rigidity result that M is completely determined by alpha (x) and (Delta alpha) (x) , thereby making such submanifolds accessible to classification. As an essential step, we show that the one-parameter groups of isometries constructed in [E. Heintze and X. Liu, Ann. of Math. (2), 149 (1999), 149-181] to prove their homogeneity induce smooth and hence everywhere defined Killing fields, implying the continuity of I" (this result also seems to close a gap in [U. Christ, J. Differential Geom., 62 (2002), 1-15]). Here an important tool is the introduction of affine root systems of isoparametric submanifolds.

Polar foliations and isoparametric maps

A singular Riemannian foliation F on a complete Riemannian manifold M is called a polar foliation if, for each regular point p, there is an immersed submanifold Sigma, called section, that passes through p and that meets all the leaves and always perpendicularly. A typical example of a polar foliation is the partition of M into the orbits of a polar action, i.e., an isometric action with sections. In this article we prove that the leaves of H : M -> Sigma, coincide with the level sets of a smooth map H: M -> Sigma, if M is simply connected. In particular, the orbits of a polar action on a simply connected space are level sets of an isoparametric map. This result extends previous results due to the author and Gorodski, Heintze, Liu and Olmos, Carter and West, and Terng.

Effects of Perspective on the Amplification of Object Sizes that Intercept the Horizon Line

We investigated the effects of texture gradient and the position of test stimulus in relation to the horizon on the perception of relative sizes. By using the staircase method, 50 participants adjusted the size of a bar presented above, below or on the horizon as it could be perceived in the same size of a bar presented in the lower visual field. Stimuli were presented during 100ms on five background conditions. Perspective gradient contributed more to the overestimation of relative sizes than compression gradient. The sizes of the objects which intercepted the horizon line were overestimated. Visual system was very effective in extracting information from perspective depth cues, making it even during very brief exposure.

Retrieval of trace gases vertical profile in the lower atmosphere combining. Differential Optical Absorption Spectroscopy with radiative transfer models

The motivation for the work presented in this thesis is to retrieve profile information for the atmospheric trace constituents nitrogen dioxide (NO2) and ozone (O3) in the lower troposphere from remote sensing measurements. The remote sensing technique used, referred to as Multiple AXis Differential Optical Absorption Spectroscopy (MAX-DOAS), is a recent technique that represents a significant advance on the well-established DOAS, especially for what it concerns the study of tropospheric trace consituents. NO2 is an important trace gas in the lower troposphere due to the fact that it is involved in the production of tropospheric ozone; ozone and nitrogen dioxide are key factors in determining the quality of air with consequences, for example, on human health and the growth of vegetation. To understand the NO2 and ozone chemistry in more detail not only the concentrations at ground but also the acquisition of the vertical distribution is necessary. In fact, the budget of nitrogen oxides and ozone in the atmosphere is determined both by local emissions and non-local chemical and dynamical processes (i.e. diffusion and transport at various scales) that greatly impact on their vertical and temporal distribution: thus a tool to resolve the vertical profile information is really important. Useful measurement techniques for atmospheric trace species should fulfill at least two main requirements. First, they must be sufficiently sensitive to detect the species under consideration at their ambient concentration levels. Second, they must be specific, which means that the results of the measurement of a particular species must be neither positively nor negatively influenced by any other trace species simultaneously present in the probed volume of air. Air monitoring by spectroscopic techniques has proven to be a very useful tool to fulfill these desirable requirements as well as a number of other important properties. During the last decades, many such instruments have been developed which are based on the absorption properties of the constituents in various regions of the electromagnetic spectrum, ranging from the far infrared to the ultraviolet. Among them, Differential Optical Absorption Spectroscopy (DOAS) has played an important role. DOAS is an established remote sensing technique for atmospheric trace gases probing, which identifies and quantifies the trace gases in the atmosphere taking advantage of their molecular absorption structures in the near UV and visible wavelengths of the electromagnetic spectrum (from 0.25 μm to 0.75 μm). Passive DOAS, in particular, can detect the presence of a trace gas in terms of its integrated concentration over the atmospheric path from the sun to the receiver (the so called slant column density). The receiver can be located at ground, as well as on board an aircraft or a satellite platform. Passive DOAS has, therefore, a flexible measurement configuration that allows multiple applications. The ability to properly interpret passive DOAS measurements of atmospheric constituents depends crucially on how well the optical path of light collected by the system is understood. This is because the final product of DOAS is the concentration of a particular species integrated along the path that radiation covers in the atmosphere. This path is not known a priori and can only be evaluated by Radiative Transfer Models (RTMs). These models are used to calculate the so called vertical column density of a given trace gas, which is obtained by dividing the measured slant column density to the so called air mass factor, which is used to quantify the enhancement of the light path length within the absorber layers. In the case of the standard DOAS set-up, in which radiation is collected along the vertical direction (zenith-sky DOAS), calculations of the air mass factor have been made using “simple” single scattering radiative transfer models. This configuration has its highest sensitivity in the stratosphere, in particular during twilight. This is the result of the large enhancement in stratospheric light path at dawn and dusk combined with a relatively short tropospheric path. In order to increase the sensitivity of the instrument towards tropospheric signals, measurements with the telescope pointing the horizon (offaxis DOAS) have to be performed. In this circumstances, the light path in the lower layers can become very long and necessitate the use of radiative transfer models including multiple scattering, the full treatment of atmospheric sphericity and refraction. In this thesis, a recent development in the well-established DOAS technique is described, referred to as Multiple AXis Differential Optical Absorption Spectroscopy (MAX-DOAS). The MAX-DOAS consists in the simultaneous use of several off-axis directions near the horizon: using this configuration, not only the sensitivity to tropospheric trace gases is greatly improved, but vertical profile information can also be retrieved by combining the simultaneous off-axis measurements with sophisticated RTM calculations and inversion techniques. In particular there is a need for a RTM which is capable of dealing with all the processes intervening along the light path, supporting all DOAS geometries used, and treating multiple scattering events with varying phase functions involved. To achieve these multiple goals a statistical approach based on the Monte Carlo technique should be used. A Monte Carlo RTM generates an ensemble of random photon paths between the light source and the detector, and uses these paths to reconstruct a remote sensing measurement. Within the present study, the Monte Carlo radiative transfer model PROMSAR (PROcessing of Multi-Scattered Atmospheric Radiation) has been developed and used to correctly interpret the slant column densities obtained from MAX-DOAS measurements. In order to derive the vertical concentration profile of a trace gas from its slant column measurement, the AMF is only one part in the quantitative retrieval process. One indispensable requirement is a robust approach to invert the measurements and obtain the unknown concentrations, the air mass factors being known. For this purpose, in the present thesis, we have used the Chahine relaxation method. Ground-based Multiple AXis DOAS, combined with appropriate radiative transfer models and inversion techniques, is a promising tool for atmospheric studies in the lower troposphere and boundary layer, including the retrieval of profile information with a good degree of vertical resolution. This thesis has presented an application of this powerful comprehensive tool for the study of a preserved natural Mediterranean area (the Castel Porziano Estate, located 20 km South-West of Rome) where pollution is transported from remote sources. Application of this tool in densely populated or industrial areas is beginning to look particularly fruitful and represents an important subject for future studies.

Monte Carlo Simulations of Novel Scintillator Detectors and Dosimetry Calculations

Monte Carlo (MC) simulation techniques are becoming very common in the Medical Physicists community. MC can be used for modeling Single Photon Emission Computed Tomography (SPECT) and for dosimetry calculations. 188Re, is a promising candidate for radiotherapeutic production and understanding the mechanisms of the radioresponse of tumor cells "in vitro" is of crucial importance as a first step before "in vivo" studies. The dosimetry of 188Re, used to target different lines of cancer cells, has been evaluated by the MC code GEANT4. The simulations estimate the average energy deposition/per event in the biological samples. The development of prototypes for medical imaging, based on LaBr3:Ce scintillation crystals coupled with a position sensitive photomultiplier, have been studied using GEANT4 simulations. Having tested, in the simulation, surface treatments different from the one applied to the crystal used in our experimental measurements, we found out that the Energy Resolution (ER) and the Spatial Resolution (SR) could be improved, in principle, by machining in a different way the lateral surfaces of the crystal. We have then studied a system able to acquire both echographic and scintigraphic images to let the medical operator obtain the complete anatomic and functional information for tumor diagnosis. The scintigraphic part of the detector is simulated by GEANT4 and first attempts to reconstruct tomographic images have been made using as method of reconstruction a back-projection standard algorithm. The proposed camera is based on slant collimators and LaBr3:Ce crystals. Within the Field of View (FOV) of the camera, it possible to distinguish point sources located in air at a distance of about 2 cm from each other. In particular conditions of uptake, tumor depth and dimension, the preliminary results show that the Signal to Noise Ratio (SNR) values obtained are higher than the standard detection limit.

Estimating persistent Betti numbers for discrete shape analysis

Persistent Topology is an innovative way of matching topology and geometry, and it proves to be an effective mathematical tool in shape analysis. In order to express its full potential for applications, it has to interface with the typical environment of Computer Science: It must be possible to deal with a finite sampling of the object of interest, and with combinatorial representations of it. Following that idea, the main result claims that it is possible to construct a relation between the persistent Betti numbers (PBNs; also called rank invariant) of a compact, Riemannian submanifold X of R^m and the ones of an approximation U of X itself, where U is generated by a ball covering centered in the points of the sampling. Moreover we can state a further result in which, this time, we relate X with a finite simplicial complex S generated, thanks to a particular construction, by the sampling points. To be more precise, strict inequalities hold only in "blind strips'', i.e narrow areas around the discontinuity sets of the PBNs of U (or S). Out of the blind strips, the values of the PBNs of the original object, of the ball covering of it, and of the simplicial complex coincide, respectively.

Compatibility of ultra high performance concrete as repair material : bond characterization with concrete under different loading scenarios

The rehabilitation of concrete structures, especially concrete bridge decks, is a major challenge for transportation agencies in the United States. Often, the most appropriate strategy to preserve or rehabilitate these structures is to provide some form of a protective coating or barrier. These surface treatments have typically been some form of polymer, asphalt, or low-permeability concrete, but the application of UHPC has shown promise for this application mainly due to its negligible permeability, but also as a result of its excellent mechanical properties, self-consolidating nature, rapid gain strength, and minimal creep and shrinkage characteristics. However, for widespread acceptance, durability and performance of the composite system must be fully understood, specifically the bond between UHPC and NSC often used in bridge decks. It is essential that the bond offers enough strength to resist the stress due to mechanical loading or thermal effects, while also maintaining an extended service-life performance. This report attempts to assess the bond strength between UHPC and NSC under different loading configurations. Different variables, such as roughness degree of the concrete substrates, age of bond, exposure to freeze-thaw cycles and wetting conditions of the concrete substrate, were included in this study. The combination of splitting tensile test with 0, 300, 600 and 900 freeze-thaw cycles was carried out to assess the bond performance under severe ambient conditions. The slant-shear test was utilized with different interface angles to provide a wide understanding of the bond performance under different combinations of compression and shear stresses. The pull-off test is the most accepted method to evaluate the bond strength in the field. This test which studies the direct tensile strength of the bond, the most severe loading condition, was used to provide data that can be correlated with the other tests that only can be used in the laboratory. The experimental program showed that the bond performance between UHPC and NSC is successful, as the strength regardless the different degree of roughness of the concrete substrate, the age of the composite specimens, the exposure to freeze-thaw cycles and the different loading configurations, is greater than that of concrete substrate and largely satisfies with ACI 546.3R-06.

Estrategias familiares y políticas públicas en auxilio del aumento de la desigualdad distributiva durante el período de reformas estructurales y la crisis de la convertibilidad : Gran Buenos Aires 1992-2003

Diferentes estudios han dado cuenta de la relación entre el comportamiento del mercado de trabajo y los cambios en la estructura social, relativos al aumento de la desigualdad en la distribución del ingreso, durante los años de reformas estructurales. Sin embargo, resulta necesario revisar y ampliar tales diagnósticos con el objetivo de lograr una visión más amplia del fenómeno. El presente trabajo tiene como objetivo explicar o, al menos, asociar los cambios ocurridos en el interior de la estructura social en el Gran Buenos Aires, durante el período 1992-2003, como efecto de una múltiple relación entre factores socioeconómicos, estrategias domésticas, movimientos del mercado de trabajo y políticas públicas específicas. La hipótesis que subyace a nuestro trabajo es que tanto los procesos de empobrecimiento y desplazamiento de los hogares como el aumento de la desigualdad y la fragmentación social descansan en la profundización de una estructura socioproductiva cada vez más segmentada, que es incapaz de generar oportunidades de empleo pleno para todos. Se utiliza información de la Encuesta Permanente de Hogares (eph) del indec (mayo de 1992, 1994, 1998, 2001 y 2003-Gran Buenos Aires), realizando correcciones de sesgos de información y construcción de unidades de análisis agregadas

Sobre las "asalariadas del amor" : Prostitución y norma (Argentina y España, fin-du-siècle)

El trabajo indaga aspectos vinculados a la gestión pública de la prostitución, en cuánto estrategia biopolítica aplicada sobre el binomio sexualidad-reproducción, para concentrarse particularmente en Argentina y España durante las últimas décadas del siglo XIX y las primeras del XX. El interés comparativo del enfoque halla sustento en la existencia en esos países de ciudades afines en lo cultural, como Buenos Aires y Barcelona, con urbanización creciente y paralela inmigración masculina, por una parte; y, por otra, por la impronta eugénico-biotipológica compartida entre ambos y que resultara funcional a ciertas hipótesis construidas en torno a las enfermedades de transmisión sexual

Estrategias familiares y políticas públicas en auxilio del aumento de la desigualdad distributiva durante el período de reformas estructurales y la crisis de la convertibilidad : Gran Buenos Aires 1992-2003

Diferentes estudios han dado cuenta de la relación entre el comportamiento del mercado de trabajo y los cambios en la estructura social, relativos al aumento de la desigualdad en la distribución del ingreso, durante los años de reformas estructurales. Sin embargo, resulta necesario revisar y ampliar tales diagnósticos con el objetivo de lograr una visión más amplia del fenómeno. El presente trabajo tiene como objetivo explicar o, al menos, asociar los cambios ocurridos en el interior de la estructura social en el Gran Buenos Aires, durante el período 1992-2003, como efecto de una múltiple relación entre factores socioeconómicos, estrategias domésticas, movimientos del mercado de trabajo y políticas públicas específicas. La hipótesis que subyace a nuestro trabajo es que tanto los procesos de empobrecimiento y desplazamiento de los hogares como el aumento de la desigualdad y la fragmentación social descansan en la profundización de una estructura socioproductiva cada vez más segmentada, que es incapaz de generar oportunidades de empleo pleno para todos. Se utiliza información de la Encuesta Permanente de Hogares (eph) del indec (mayo de 1992, 1994, 1998, 2001 y 2003-Gran Buenos Aires), realizando correcciones de sesgos de información y construcción de unidades de análisis agregadas

Sobre las "asalariadas del amor" : Prostitución y norma (Argentina y España, fin-du-siècle)

El trabajo indaga aspectos vinculados a la gestión pública de la prostitución, en cuánto estrategia biopolítica aplicada sobre el binomio sexualidad-reproducción, para concentrarse particularmente en Argentina y España durante las últimas décadas del siglo XIX y las primeras del XX. El interés comparativo del enfoque halla sustento en la existencia en esos países de ciudades afines en lo cultural, como Buenos Aires y Barcelona, con urbanización creciente y paralela inmigración masculina, por una parte; y, por otra, por la impronta eugénico-biotipológica compartida entre ambos y que resultara funcional a ciertas hipótesis construidas en torno a las enfermedades de transmisión sexual

Estrategias familiares y políticas públicas en auxilio del aumento de la desigualdad distributiva durante el período de reformas estructurales y la crisis de la convertibilidad : Gran Buenos Aires 1992-2003

Diferentes estudios han dado cuenta de la relación entre el comportamiento del mercado de trabajo y los cambios en la estructura social, relativos al aumento de la desigualdad en la distribución del ingreso, durante los años de reformas estructurales. Sin embargo, resulta necesario revisar y ampliar tales diagnósticos con el objetivo de lograr una visión más amplia del fenómeno. El presente trabajo tiene como objetivo explicar o, al menos, asociar los cambios ocurridos en el interior de la estructura social en el Gran Buenos Aires, durante el período 1992-2003, como efecto de una múltiple relación entre factores socioeconómicos, estrategias domésticas, movimientos del mercado de trabajo y políticas públicas específicas. La hipótesis que subyace a nuestro trabajo es que tanto los procesos de empobrecimiento y desplazamiento de los hogares como el aumento de la desigualdad y la fragmentación social descansan en la profundización de una estructura socioproductiva cada vez más segmentada, que es incapaz de generar oportunidades de empleo pleno para todos. Se utiliza información de la Encuesta Permanente de Hogares (eph) del indec (mayo de 1992, 1994, 1998, 2001 y 2003-Gran Buenos Aires), realizando correcciones de sesgos de información y construcción de unidades de análisis agregadas

Sobre las "asalariadas del amor" : Prostitución y norma (Argentina y España, fin-du-siècle)

El trabajo indaga aspectos vinculados a la gestión pública de la prostitución, en cuánto estrategia biopolítica aplicada sobre el binomio sexualidad-reproducción, para concentrarse particularmente en Argentina y España durante las últimas décadas del siglo XIX y las primeras del XX. El interés comparativo del enfoque halla sustento en la existencia en esos países de ciudades afines en lo cultural, como Buenos Aires y Barcelona, con urbanización creciente y paralela inmigración masculina, por una parte; y, por otra, por la impronta eugénico-biotipológica compartida entre ambos y que resultara funcional a ciertas hipótesis construidas en torno a las enfermedades de transmisión sexual

Tropospheric scintillation with concurrent rain attenuation at 50 GHz in Madrid

Tropospheric scintillation can become a significant impairment in satellite communication systems, especially in those with low fade-margin. Moreover, fast amplitude fluctuations due to scintillation are even larger when rain is present on the propagation path. Few studies of scintillation during rain have been reported and the statistical characterization is still not totally clear. This paper presents experimental results on the relationship between scintillation and rain attenuation obtained from slant-path attenuation measurements at 50 GHz. The study is focused on the probability density function (PDF) of various scintillation parameters. It is shown that scintillation intensity, measured as the standard deviation of the amplitude fluctuations, increases with rain attenuation; in the range 1-10 dB this relationship can be expressed by power-law or linear equations. The PDFs of scintillation intensity conditioned to a given rain attenuation level are lognormal, while the overall long-term PDF is well fltted by a generalized extreme valué (GEV) distribution. The short-term PDFs of amplitude conditioned to a given intensity are normal, although skewness effects are observed for the strongest intensities. A procedure is given to derive numerically the overall PDF of scintillation amplitude using a combination of conditional PDFs and local statistics of rain attenuation.

Estimation of atmospheric attenuation at 99 GHz using a total power radiometer

A total power radiometer operating at 99 GHz was implemented for a propagation experiment aimed to estimate attenuation along a slant path, in Madrid. Valuable data was collected during a measurement campaign in mid-april of 2012. The retrieved time series of radiometric attenuation allow the use of this technique at this frequency to be validated, under clear sky and cloudy conditions, using a low cost instrument calibrated with simple procedures. In spite of some hardware limitations, this experiment shows an interesting application of radiometric technique in order to study atmospheric propagation at 99 GHz.