Low tension strings on a cosmological singularity

It has recently been argued that the singularity of the Milne orbifold can be resolved in higher spin theories. In string theory scattering amplitudes, however, the Milne singularity gives rise to ultraviolet divergences that signal uncontrolled backreaction. Since string theory in the low tension limit is expected to be a higher spin theory (although precise proposals only exist in special cases), we investigate what happens to these scattering amplitudes in the low tension limit. We point out that the known problematic ultraviolet divergences disappear in this limit. In addition we systematically identify all divergences of the simplest 2-to-2 tree-level string scattering amplitude on the Milne orbifold, and argue that the divergences that survive in the low tension limit have sensible infrared interpretations.

GLOBAL REGISTRATION OF MULTIPLE POINT CLOUDS USING SEMIDEFINITE PROGRAMMING

Consider N points in R-d and M local coordinate systems that are related through unknown rigid transforms. For each point, we are given (possibly noisy) measurements of its local coordinates in some of the coordinate systems. Alternatively, for each coordinate system, we observe the coordinates of a subset of the points. The problem of estimating the global coordinates of the N points (up to a rigid transform) from such measurements comes up in distributed approaches to molecular conformation and sensor network localization, and also in computer vision and graphics. The least-squares formulation of this problem, although nonconvex, has a well-known closed-form solution when M = 2 (based on the singular value decomposition (SVD)). However, no closed-form solution is known for M >= 3. In this paper, we demonstrate how the least-squares formulation can be relaxed into a convex program, namely, a semidefinite program (SDP). By setting up connections between the uniqueness of this SDP and results from rigidity theory, we prove conditions for exact and stable recovery for the SDP relaxation. In particular, we prove that the SDP relaxation can guarantee recovery under more adversarial conditions compared to earlier proposed spectral relaxations, and we derive error bounds for the registration error incurred by the SDP relaxation. We also present results of numerical experiments on simulated data to confirm the theoretical findings. We empirically demonstrate that (a) unlike the spectral relaxation, the relaxation gap is mostly zero for the SDP (i.e., we are able to solve the original nonconvex least-squares problem) up to a certain noise threshold, and (b) the SDP performs significantly better than spectral and manifold-optimization methods, particularly at large noise levels.

Use of polydispersity index as control parameter to study melting/freezing of Lennard-Jones system: Comparison among predictions of bifurcation theory with Lindemann criterion, inherent structure analysis and Hansen-Verlet rule

Using polydispersity index as an additional order parameter we investigate freezing/melting transition of Lennard-Jones polydisperse systems (with Gaussian polydispersity in size), especially to gain insight into the origin of the terminal polydispersity. The average inherent structure (IS) energy and root mean square displacement (RMSD) of the solid before melting both exhibit quite similar polydispersity dependence including a discontinuity at solid-liquid transition point. Lindemann ratio, obtained from RMSD, is found to be dependent on temperature. At a given number density, there exists a value of polydispersity index (delta (P)) above which no crystalline solid is stable. This transition value of polydispersity(termed as transition polydispersity, delta (P) ) is found to depend strongly on temperature, a feature missed in hard sphere model systems. Additionally, for a particular temperature when number density is increased, delta (P) shifts to higher values. This temperature and number density dependent value of delta (P) saturates surprisingly to a value which is found to be nearly the same for all temperatures, known as terminal polydispersity (delta (TP)). This value (delta (TP) similar to 0.11) is in excellent agreement with the experimental value of 0.12, but differs from hard sphere transition where this limiting value is only 0.048. Terminal polydispersity (delta (TP)) thus has a quasiuniversal character. Interestingly, the bifurcation diagram obtained from non-linear integral equation theories of freezing seems to provide an explanation of the existence of unique terminal polydispersity in polydisperse systems. Global bond orientational order parameter is calculated to obtain further insights into mechanism for melting.

Joint modeling of lithosphere and mantle dynamics: Evaluation of constraints from global tomography models

With the advances in technology, seismological theory, and data acquisition, a number of high-resolution seismic tomography models have been published. However, discrepancies between tomography models often arise from different theoretical treatments of seismic wave propagation, different inversion strategies, and different data sets. Using a fixed velocity-to-density scaling and a fixed radial viscosity profile, we compute global mantle flow models associated with the different tomography models and test the impact of these for explaining surface geophysical observations (geoid, dynamic topography, stress, and strain rates). We use the joint modeling of lithosphere and mantle dynamics approach of Ghosh and Holt (2012) to compute the full lithosphere stresses, except that we use HC for the mantle circulation model, which accounts for the primary flow-coupling features associated with density-driven mantle flow. Our results show that the seismic tomography models of S40RTS and SAW642AN provide a better match with surface observables on a global scale than other models tested. Both of these tomography models have important similarities, including upwellings located in Pacific, Eastern Africa, Iceland, and mid-ocean ridges in the Atlantic and Indian Ocean and downwelling flows mainly located beneath the Andes, the Middle East, and central and Southeast Asia.

Los dilemas de la acción colectiva global. Un estudio de caso : el movimiento sindical en el MERCOSUR (1991-2012)

Resumen: Este trabajo analiza la acción colectiva sindical postnacional en el MERCOSUR en un período histórico signado por profundas mutaciones políticas, económicas, y productivas sociales (1991-2012) a partir de los relatos y representaciones de sus protagonistas. El trabajo cualitativo intentará explicar la configuración del sindicalismo internacional en la globalización, y describir las estrategias del movimiento obrero mercosureño. La metodología cualitativa ilustra un trabajo de campo a partir de entrevistas en profundidad a 34 sindicalistas del Mercosur, y entrevistas adicionales a tres representantes de la Confederación Sindical de las Américas, dos empresarios del Mercosur, un especialista académico en la dimensión sociolaboral de la integración regional y un representante de la OIT en la región. La metodología de análisis e interpretación de dichas entrevistas ha sido la teoría fundamentada, entendida como la técnica más idónea de aprehender los procesos sociales a través de las voces de los líderes obreros, comprender su realidad, sus representaciones y sistema de valores, sus ideas y su acción colectiva. La literatura de los movimientos sociales en la globalización capitalista ha puesto el énfasis en la emergencia de nuevos colectivos cuyos reclamos se concentran en el reconocimiento (Fraser y Honneth, 2006) de sus identidades que el modelo fordista de producción pareció invisibilizar y soslayar ante la primacía de las prácticas económicas y demandas distributivas. Esta tesis conjuga una perspectiva dualista y demuestra que las estrategias de reconocimiento y las reivindicaciones de redistribución de tipo clasista se resignificaron en el escenario postnacional a través de la Coordinadora de Centrales Sindicales del Cono Sur –CCSCS- (subregional) y, con un desarrollo menor: los Sindicatos Globales (FSI, GUFs) en la acción sectorial [1991-2012]. Para arribar al núcleo configurativo de sus representaciones y su sistema de valores, la investigación transitó por los sentidos y significados del trabajo, las mutaciones productivas y de las condiciones del trabajo, las teorías del fin del trabajo, la precarización y la representación de los trabajadores más frágiles: mujeres, jóvenes y migrantes. En un segundo orden se interpeló sobre la gobernanza mundial, los organismos internacionales, el régimen normativo internacional, la civilización capitalista, para luego abordar el estudio específico del Mercosur y la acción obrera en dicho proceso. El núcleo determinó que para los representantes obreros la acción colectiva sindical debe ser postnacional y su objetivo es limitar la globalización capitalista neoliberal. La CCSCS conformó desde sus inicios un movimiento capaz de elevarse al rango supranacional para representar la voz de los trabajadores del MERCOSUR. La pluralidad configuró su mayor virtud durante sus primeros 20 años, reconociendo una experiencia de aprendizaje de tolerancia y respeto, que ellos definen como la unidad en la diversidad. Esta entidad constituye un patrimonio único como paradigma del sindicalismo postnacional. Los sindicatos del Cono Sur adoptaron diversas modalidades de acción colectiva: a) reactiva (con repertorios de insubordinación, de lucha y resistencia al modelo neoliberal), b) proactiva (con repertorios de incidencia normativa en el MERCOSUR) y c) participativa (con repertorios de producción propositiva de incidencia en la dimensión social del MERCOSUR). Su acción colectiva reactiva, normativa y propositiva fue eficaz a mediano plazo para participar e incidir en el MERCOSUR, crear una dimensión social del bloque y dotar de derechos normativos a los ciudadanos de la región. Su acción tuvo un sentido político de gran poder instituyente, con capacidad movilización y alta exposición pública. Sin embargo, en la segunda década su lógica de construcción quedó subordinada a los procesos nacionales y a los partidos gobernantes, dejó de ser performativa y de creación política, dirimiéndose en la esfera social junto a otros movimientos sociales emergentes, y provocó un ciclo de desmovilización. Simultáneamente, emergió con fuerza otra modalidad de sindicalismo postnacional con la fusión y refundación de los Sindicatos Globales. Su acción sectorial contribuye a restaurar las demandas de distribución que habían quedado soslayadas, pero esta tesis manifiesta que los protagonistas afirman que sus marcos de acción colectiva deberán ser conjuntos para ser exitosa. El sindicalismo postnacional en el MERCOSUR se define a sí mismos como agente de desarrollo, protagonista del modelo socioproductivo, pero también como vehículo partícipe de la democracia y de una matriz sustentable de desarrollo

An optimal theory for an expansion of flow quantities to capture the flow structures

An optimal theory on how database analysis to capture the flow structures has been developed in this paper, which include the POD method as its special case. By means of the remainder minimization method in the Sobolev space, for more general optimal conditions the new theory has the potential to overcome an inherent limitation of the POD method, i.e., it cannot be used to the situations in which the optimal condition is other than the inner product global one. As an example, using the new theory, the database of a two-dimensional flow over a backward-facing step is analyzed in detail, with velocity and vorticity bases.

Singularity criteria for perturbation series

This paper is concerned with some mathematical aspects of the Van Dyke method inperturbation theory, i.e. the singularity criteria of perturbation series. The author suggestsa sign criterion and a Domb-syke plot for the cases with complex conjugate singularities, thussucceeding in extending the conclusions of Van Dyke's. Subsequently. effects of singularitiesof the lower order upon the criteria are taken into account. In addition, a method of locat-ing singular points is developed by analysing the new perturbation series derived by the Eulertransformation.

Topics in bifurcation theory

I. Existence and Structure of Bifurcation Branches

The problem of bifurcation is formulated as an operator equation in a Banach space, depending on relevant control parameters, say of the form G(u,λ) = 0. If dimN(G_u(u_O,λ_O)) = m the method of Lyapunov-Schmidt reduces the problem to the solution of m algebraic equations. The possible structure of these equations and the various types of solution behaviour are discussed. The equations are normally derived under the assumption that G^O_λεR(G^O_u). It is shown, however, that if G^O_λεR(G^O_u) then bifurcation still may occur and the local structure of such branches is determined. A new and compact proof of the existence of multiple bifurcation is derived. The linearized stability near simple bifurcation and "normal" limit points is then indicated.

II. Constructive Techniques for the Generation of Solution Branches

A method is described in which the dependence of the solution arc on a naturally occurring parameter is replaced by the dependence on a form of pseudo-arclength. This results in continuation procedures through regular and "normal" limit points. In the neighborhood of bifurcation points, however, the associated linear operator is nearly singular causing difficulty in the convergence of continuation methods. A study of the approach to singularity of this operator yields convergence proofs for an iterative method for determining the solution arc in the neighborhood of a simple bifurcation point. As a result of these considerations, a new constructive proof of bifurcation is determined.

Singularities and horizons in the collisions of gravitational waves

This thesis presents a study of the dynamical, nonlinear interaction of colliding gravitational waves, as described by classical general relativity. It is focused mainly on two fundamental questions: First, what is the general structure of the singularities and Killing-Cauchy horizons produced in the collisions of exactly plane-symmetric gravitational waves? Second, under what conditions will the collisions of almost-plane gravitational waves (waves with large but finite transverse sizes) produce singularities?

In the work on the collisions of exactly-plane waves, it is shown that Killing horizons in any plane-symmetric spacetime are unstable against small plane-symmetric perturbations. It is thus concluded that the Killing-Cauchy horizons produced by the collisions of some exactly plane gravitational waves are nongeneric, and that generic initial data for the colliding plane waves always produce "pure" spacetime singularities without such horizons. This conclusion is later proved rigorously (using the full nonlinear theory rather than perturbation theory), in connection with an analysis of the asymptotic singularity structure of a general colliding plane-wave spacetime. This analysis also proves that asymptotically the singularities created by colliding plane waves are of inhomogeneous-Kasner type; the asymptotic Kasner axes and exponents of these singularities in general depend on the spatial coordinate that runs tangentially to the singularity in the non-plane-symmetric direction.

In the work on collisions of almost-plane gravitational waves, first some general properties of single almost-plane gravitational-wave spacetimes are explored. It is shown that, by contrast with an exact plane wave, an almost-plane gravitational wave cannot have a propagation direction that is Killing; i.e., it must diffract and disperse as it propagates. It is also shown that an almost-plane wave cannot be precisely sandwiched between two null wavefronts; i.e., it must leave behind tails in the spacetime region through which it passes. Next, the occurrence of spacetime singularities in the collisions of almost-plane waves is investigated. It is proved that if two colliding, almost-plane gravitational waves are initially exactly plane-symmetric across a central region of sufficiently large but finite transverse dimensions, then their collision produces a spacetime singularity with the same local structure as in the exact-plane-wave collision. Finally, it is shown that a singularity still forms when the central regions are only approximately plane-symmetric initially. Stated more precisely, it is proved that if the colliding almost-plane waves are initially sufficiently close to being exactly plane-symmetric across a bounded central region of sufficiently large transverse dimensions, then their collision necessarily produces spacetime singularities. In this case, nothing is now known about the local and global structures of the singularities.

The vacuum Regge Trajectory in conventional field theory

The effect on the scattering amplitude of the existence of a pole in the angular momentum plane near J = 1 in the channel with the quantum numbers of the vacuum is calculated. This is then compared with a fourth order calculation of the scattering of neutral vector mesons from a fermion pair field in the limit of large momentum transfer. The presence of the third double spectral function in the perturbation amplitude complicates the identification of pole trajectory parameters, and the limitations of previous methods of treating this are discussed. A gauge invariant scheme for extracting the contribution of the vacuum trajectory is presented which gives agreement with unitarity predictions, but further calculations must be done to determine the position and slope of the trajectory at s = 0. The residual portion of the amplitude is compared with the Gribov singularity.

The Environmental, Social, Governance, and Financial Performance Effects on Companies that Adopt the United Nations Global Compact

This paper aims to investigate companies' environmental, social, governance (ESG), and financial implications of their commitment to the United Nations Global Compact (UNGC). The focus is placed on companies operating in the three countries with the highest number of UNGC participants: Spain, France, and Japan. The results clearly reveal that adoption of the UNGC often requires an organizational change that fosters stakeholder engagement, ultimately resulting in improvements in companies' ESG performance. Additionally, the results reveal that ESG performance has a significant impact on financial performance for companies that adopted the principles of the UNGC. These findings provide both non-financial and financial incentives to companies to commit to this voluntary corporate social responsibility (CSR) initiative, which will have important implications on companies' strategic management policies that aim to foster sustainable businesses and community development. Finally, the linkages between the UNGC-committed companies' ESG and financial performance may be influenced by geographical spread, mainly due to the appearance of differences in the institutional, societal, and cultural settings.

Padronização do Direito em tempos de grande encarceramento: os influxos da nova ordem global

O presente trabalho pretende analisar alguns reflexos da incorporação dos influxos da nova ordem globalizada e do neoliberalismo na ordem jurídica nacional. Será demonstrado que os valores sugeridos ainda que essa sugestão tenha caráter quase cogente pelo Banco Mundial, por meio de sua atividade paranormativa, são incorporados pela ordem legal brasileira através de reformas processuais que priorizam a justiça quantitativa. Essas reformas, somadas a outros fatores tais como o aumento das demandas levadas ao Poder Judiciário, a influência da economia na análise do Direito, a utilização equivocada, irrefletida e mecânica de discursos de fundamentação prévia, a pobreza do ensino jurídico e a submissão dos juízes ao que ditam os tribunais, resultam em um patamar de jurisdição padronizada. Paralelamente a esse processo, a população carcerária brasileira cresce em acelerado ritmo, o que pode ser relacionado com o avanço dos valores neoliberais e da retração do estado do bem estar social.Diante desse quadro, é proposto, como forma de aproximação da teoria jurídica com a prática forense e de maneira a proporcionar abertura do direito penal ao mundo dos fatos, a dogmática funcional redutora, de modo que o Direito Penal atue como dique de contenção do estado de polícia que subjaz a cada estado de direito. Ademais, propõe-se que essa adoção se dê nas salas de aula dos cursos de direito, utilizando-se, tanto quanto possível, de diversos recursos didáticos para tornar mais palpáveis e inteligíveis os conceitos e ideias propostos.

Formulação teórica dos fundamentos da otimização global topográfica com análise de desempenho e aplicações à estabilidade de fases de misturas termodinâmicas

Métodos de otimização que utilizam condições de otimalidade de primeira e/ou segunda ordem são conhecidos por serem eficientes. Comumente, esses métodos iterativos são desenvolvidos e analisados à luz da análise matemática do espaço euclidiano n-dimensional, cuja natureza é de caráter local. Consequentemente, esses métodos levam a algoritmos iterativos que executam apenas as buscas locais. Assim, a aplicação de tais algoritmos para o cálculo de minimizadores globais de uma função não linear,especialmente não-convexas e multimodais, depende fortemente da localização dos pontos de partida. O método de Otimização Global Topográfico é um algoritmo de agrupamento, que utiliza uma abordagem baseada em conceitos elementares da teoria dos grafos, a fim de gerar bons pontos de partida para os métodos de busca local, a partir de pontos distribuídos de modo uniforme no interior da região viável. Este trabalho tem dois objetivos. O primeiro é realizar uma nova abordagem sobre método de Otimização Global Topográfica, onde, pela primeira vez, seus fundamentos são formalmente descritos e suas propriedades básicas são matematicamente comprovadas. Neste contexto, propõe-se uma fórmula semi-empírica para calcular o parâmetro chave deste algoritmo de agrupamento, e, usando um método robusto e eficiente de direções viáveis por pontos-interiores, estendemos o uso do método de Otimização Global Topográfica a problemas com restrições de desigualdade. O segundo objetivo é a aplicação deste método para a análise de estabilidade de fase em misturas termodinâmicas,o qual consiste em determinar se uma dada mistura se apresenta em uma ou mais fases. A solução deste problema de otimização global é necessária para o cálculo do equilíbrio de fases, que é um problema de grande importância em processos da engenharia, como, por exemplo, na separação por destilação, em processos de extração e simulação da recuperação terciária de petróleo, entre outros. Além disso, afim de ter uma avaliação inicial do potencial dessa técnica, primeiro vamos resolver 70 problemas testes, e então comparar o desempenho do método proposto aqui com o solver MIDACO, um poderoso software recentemente introduzido no campo da otimização global.