UNIQUENESS OF SOLUTIONS TO SCHRODINGER EQUATIONS ON H-TYPE GROUPS

This paper deals with the Schrodinger equation i partial derivative(s)u(z, t; s) - Lu(z, t; s) = 0; where L is the sub-Laplacian on the Heisenberg group. Assume that the initial data f satisfies vertical bar f(z, t)vertical bar less than or similar to q(alpha)(z, t), where q(s) is the heat kernel associated to L. If in addition vertical bar u(z, t; s(0))vertical bar less than or similar to q(beta)(z, t), for some s(0) is an element of R \textbackslash {0}, then we prove that u(z, t; s) = 0 for all s is an element of R whenever alpha beta < s(0)(2). This result holds true in the more general context of H-type groups. We also prove an analogous result for the Grushin operator on Rn+1.

Effect of functional groups on separating carbon dioxide from CO2/N-2 gas mixtures using edge functionalized graphene nanoribbons

Development of microporous adsorbents for separation and sequestration of carbon dioxide from flue gas streams is an area of active research. In this study, we assess the influence of specific functional groups on the adsorption selectivity of CO2/N-2 mixtures through Grand Canonical Monte Carlo (GCMC) simulations. Our model system consists of a bilayer graphene nanoribbon that has been edge functionalized with OH, NH2, NO2, CH3 and COOH. Ab initio Moller-Plesset (MP2) calculations with functionalized benzenes are used to obtain binding energies and optimized geometries for CO2 and N-2. This information is used to validate the choice classical forcefields in GCMC simulations. In addition to simulations of adsorption from binary mixtures of CO2 and N-2, the ideal adsorbed solution theory (IAST) is used to predict mixture isotherms. Our study reveals that functionalization always leads to an increase in the adsorption of both CO2 and N-2 with the highest for COOH. However, significant enhancement in the selectivity for CO2 is only seen with COOH functionalized nanoribbons. The COOH functionalization gives a 28% increase in selectivity compared to H terminated nanoribbons, whereas the improvement in the selectivity for other functional groups are much Enure modest. Our study suggests that specific functionalization with COOH groups can provide a material's design strategy to improve CO2 selectivity in microporous adsorbents. Synthesis of graphene nanoplatelets with edge functionalized COOH, which has the potential for large scale production, has recently been reported (Jeon el, al., 2012). (C) 2014 Elsevier Ltd. All rights reserved,

Solution processable diketopyrrolopyrrole (DPP) cored small molecules with BODIPY end groups as novel donors for organic solar cells

Two novel triads based on a diketopyrrolopyrrole (DPP) central core and two 4,4-difluoro-4-bora-3a,4a-diaza-s-indacene (BODIPY) units attached by thiophene rings have been synthesised having high molar extinction coefficients. These triads were characterised and used as donor materials in small molecule, solution processable organic solar cells. Both triads were blended with PC71BM as an acceptor in different ratios by wt% and their photovoltaic properties were studied. For both the triads a modest photovoltaic performance was observed, having an efficiency of 0.65%. Moreover, in order to understand the ground and excited state properties and vertical absorption profile of DPP and BODIPY units within the triads, theoretical DFT and TDDFT calculations were performed.

An island called India: phylogenetic patterns across multiple taxonomic groups reveal endemic radiations

Island systems from around the world have provided fascinating opportunities for studies pertaining to various evolutionary processes. One recurring feature of isolated islands is the presence of endemic radiations. In this regard, the Indian subcontinent is an interesting entity given it has been an island during much of its history following separation from Madagascar and currently is isolated from much of Eurasia by the Himalayas in the north and the Indian Ocean in the south. Not surprisingly, recent molecular studies on a number of endemic taxa from India have reported endemic radiations. These studies suggest that the uniqueness of Indian biota is not just due to its diverse origin, but also due to evolution in isolation. The isolation of India has generated some peculiarities typically seen on oceanic islands. However, these patterns might be confined to, groups with low dispersal ability.

Groups constrain the use of risky habitat by individuals: a new cost to sociality?

Predation risk can strongly constrain how individuals use time and space. Grouping is known to reduce an individual's time investment in costly antipredator behaviours. Whether grouping might similarly provide a spatial release from antipredator behaviour and allow individuals to use risky habitat more and, thus, improve their access to resources is poorly known. We used mosquito larvae, Aedes aegypti, to test the hypothesis that grouping facilitates the use of high-risk habitat. We provided two habitats, one darker, low-risk and one lighter, high-risk, and measured the relative time spent in the latter by solitary larvae versus larvae in small groups. We tested larvae reared under different resource levels, and thus presumed to vary in body condition, because condition is known to influence risk taking. We also varied the degree of contrast in habitat structure. We predicted that individuals in groups should use high-risk habitat more than solitary individuals allowing for influences of body condition and contrast in habitat structure. Grouping strongly influenced the time spent in the high-risk habitat, but, contrary to our expectation, individuals in groups spent less time in the high-risk habitat than solitary individuals. Furthermore, solitary individuals considerably increased the proportion of time spent in the high-risk habitat over time, whereas individuals in groups did not. Both solitary individuals and those in groups showed a small increase over time in their use of riskier locations within each habitat. The differences between solitary individuals and those in groups held across all resource and contrast conditions. Grouping may, thus, carry a poorly understood cost of constraining habitat use. This cost may arise because movement traits important for maintaining group cohesion (a result of strong selection on grouping) can act to exaggerate an individual preference for low-risk habitat. Further research is needed to examine the interplay between grouping, individual movement and habitat use traits in environments heterogeneous in risk and resources. (C) 2015 The Association for the Study of Animal Behaviour. Published by Elsevier Ltd. All rights reserved.

Social optimum in social groups with give-and-take criterion

We consider a Social Group' of networked nodes, seeking a universe' of segments. Each node has a subset of the universe and access to an expensive resource for downloading data. Nodes can also acquire the universe by exchanging copies of segments among themselves, at low cost, using inter-node links. While exchanges over inter-node links ensure minimum cost, some nodes in the group try to exploit the system. We term such nodes as non-reciprocating nodes' and prohibit such behavior by proposing the give-and-take' criterion, where exchange is allowed if each node has segments unavailable with the other. Under this criterion, we consider the problem of maximizing the number of nodes with the universe at the end of local exchanges. First, we present a randomized algorithm that is shown to be optimal in the asymptotic regime. Then, we present greedy links algorithm, which performs well for most of the scenarios and yields an optimal result when the number of nodes is four. The polygon algorithm is proposed, which yields an optimal result when each of the nodes has a unique segment. After presenting some intuitive algorithms (e.g., greedy incremental algorithm and rarest first algorithm), we compare the performances of all proposed algorithms with the optimal. Copyright (c) 2015 John Wiley & Sons, Ltd.

The effects of introducing ester linking groups on the flexoelectro-optic properties of symmetric bimesogens

In the chiral nematic phase, flexoelectricity can give rise to an interesting electrooptic switching effect, known as flexoelectro-optic switching. Flexoelectro-optic switching gives a fast v-shaped switching regime. Previous studies show that symmetric bimesogens are particularly suited for flexoelectro-optic switching. By introducing two ester linking groups into the molecular structure of a symmetric bimesogen, it was hypothesised that the flexoelectric properties will be enhanced significantly because of the resulting increase in the dipole moment of the molecules. This was found to be the correct; however, the inclusion of ester linking groups reduced the liquid crystallinity of the material.

Models and algorithms for detection and tracking of coordinated groups

In this paper, we describe models and algorithms for detection and tracking of group and individual targets. We develop two novel group dynamical models, within a continuous time setting, that aim to mimic behavioural properties of groups. We also describe two possible ways of modeling interactions between closely using Markov Random Field (MRF) and repulsive forces. These can be combined together with a group structure transition model to create realistic evolving group models. We use a Markov Chain Monte Carlo (MCMC)-Particles Algorithm to perform sequential inference. Computer simulations demonstrate the ability of the algorithm to detect and track targets within groups, as well as infer the correct group structure over time. ©2008 IEEE.

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