Croissance des fonctions propres du laplacien sur un domaine circulaire

Ce mémoire a pour but d'étudier les propriétés des solutions à l'équation aux valeurs propres de l'opérateur de Laplace sur le disque lorsque les valeurs propres tendent vers l'in ni. En particulier, on s'intéresse au taux de croissance des normes ponctuelle et L1. Soit D le disque unitaire et @D sa frontière (le cercle unitaire). On s'inté- resse aux solutions de l'équation aux valeurs propres f = f avec soit des conditions frontières de Dirichlet (fj@D = 0), soit des conditions frontières de Neumann ( @f @nj@D = 0 ; notons que sur le disque, la dérivée normale est simplement la dérivée par rapport à la variable radiale : @ @n = @ @r ). Les fonctions propres correspondantes sont données par : f (r; ) = fn;m(r; ) = Jn(kn;mr)(Acos(n ) + B sin(n )) (Dirichlet) fN (r; ) = fN n;m(r; ) = Jn(k0 n;mr)(Acos(n ) + B sin(n )) (Neumann) où Jn est la fonction de Bessel de premier type d'ordre n, kn;m est son m- ième zéro et k0 n;m est le m-ième zéro de sa dérivée (ici on dénote les fonctions propres pour le problème de Dirichlet par f et celles pour le problème de Neumann par fN). Dans ce cas, on obtient que le spectre SpD( ) du laplacien sur D, c'est-à-dire l'ensemble de ses valeurs propres, est donné par : SpD( ) = f : f = fg = fk2 n;m : n = 0; 1; 2; : : :m = 1; 2; : : :g (Dirichlet) SpN D( ) = f : fN = fNg = fk0 n;m 2 : n = 0; 1; 2; : : :m = 1; 2; : : :g (Neumann) En n, on impose que nos fonctions propres soient normalisées par rapport à la norme L2 sur D, c'est-à-dire : R D F2 da = 1 (à partir de maintenant on utilise F pour noter les fonctions propres normalisées et f pour les fonctions propres quelconques). Sous ces conditions, on s'intéresse à déterminer le taux de croissance de la norme L1 des fonctions propres normalisées, notée jjF jj1, selon . Il est vi important de mentionner que la norme L1 d'une fonction sur un domaine correspond au maximum de sa valeur absolue sur le domaine. Notons que dépend de deux paramètres, m et n et que la dépendance entre et la norme L1 dépendra du rapport entre leurs taux de croissance. L'étude du comportement de la norme L1 est étroitement liée à l'étude de l'ensemble E(D) qui est l'ensemble des points d'accumulation de log(jjF jj1)= log : Notre principal résultat sera de montrer que [7=36; 1=4] E(B2) [1=18; 1=4]: Le mémoire est organisé comme suit. L'introdution et les résultats principaux sont présentés au chapitre 1. Au chapitre 2, on rappelle quelques faits biens connus concernant les fonctions propres du laplacien sur le disque et sur les fonctions de Bessel. Au chapitre 3, on prouve des résultats concernant la croissance de la norme ponctuelle des fonctions propres. On montre notamment que, si m=n ! 0, alors pour tout point donné (r; ) du disque, la valeur de F (r; ) décroit exponentiellement lorsque ! 1. Au chapitre 4, on montre plusieurs résultats sur la croissance de la norme L1. Le probl ème avec conditions frontières de Neumann est discuté au chapitre 5 et on présente quelques résultats numériques au chapitre 6. Une brève discussion et un sommaire de notre travail se trouve au chapitre 7.

Migration and Spatial Development

This is an empirical study with theoretical interpretation and elaboration simultaneously on the migration process and the related spatial development in contemporary China. In so doing, there is always a combination of series of studies of the modernization of the migrants themselves with accumulation of forms of capital and changes of lebenswelt (life world) as well as the regions of their origins by the effective use of the gained resources from outgoing migration and remigration. With great efforts made to put the issues together for analysis, the author has taken three approaches to the study based on the political and economic institutional arrangements, the field work data and the elaboration of respective findings. First, as the analytical parts of the institutional changes, which have gone through the whole research, many of the policies from state level to townships involved in the migration, remigration and spatial development have been interpreted with Chinese political and cultural insight. The making of these, as the means of understanding the contexts of macro level and micro level cases is served as key linkages between scholarly imagination and social reality. Indeed most of the discussions made to explain the phenomena such as the sudden upsurge of migration flows, the emergence of three generations, the strong and weak trends of remigration as well as the related spatial development planning, etc are mainly due to the domination, at least the impact of governments decision-making in spite of growing market functioning in often operative manners. Secondly, case studies of the effects of migration and remigration are carried out between the years of 1995 and 2005 in the costal urban regions as designations and the interior rural regions as origins. Conducted mainly by the author, the cases drawn in the research focus on the process of migration with an accumulation of forms of capital away from home and the effective use of the resources flowing back to home areas. As a result, ways of accumulation and utilization of the economic, social and cultural capital are described and interpreted in terms of the development and modernization of both the migrants themselves and the regions where they come out from or move to in the future. Thirdly, in accordance with the findings generated from the cases, the author proposes in the final chapter an important argumentation as conclusion that the duel social-economic structure will inevitably be broken up and reformulated with flows of migrants and forms of capital they possess as types of future spatial development that will be put into practice. With scenarios and all the other conclusions worked out in the end, the research concludes that the pluralistic spatial development in the condition of constant space flows between regions can be a decisive line of thinking in the process of urbanization, industrialization and modernization in the long run in the future. Since this is an exploratory study of the past and present, the author has left some space open for academic debates and put forward suggestions on the inclusion of future research before implementing policies necessary for migration associated spatial practice and development.

Theoretical evidence for quasi-molecular structure at small internuclear distances in elastic ion-atom scattering

The potential energy curve of the system Ne-Ne is calculated for small internuclear distances from 0.005 to 3.0 au using a newly developed relativistic molecular Dirac-Fock-Slater code. A significant structure in the potential energy curve is found which leads to a nearly complete agreement with experimental differential elastic scattering cross sections. This demonstrates the presence of quasi-molecular effects in elastic ion-atom collisions at keV energies.

Colombia: compromise or containment?

The design, reformulation, and final signing of Plan Colombia by the then US President, Bill Clinton, on the 13 July 2000 initiated in a new era of the US State´s involvement in supposedly sovereign-territorial issues of Colombian politics. The implementation of Plan Colombia there-on-after brought about a major realignment of political-military scales and terrains of conflict that have renewed discourses concerning the contemporary imperialist interests of key US-based but transnationally-projected social forces, leading to arguments that stress the invigorated geo-political dimension of present-day strategies of capitalist accumulation. With the election of Álvaro Uribe Vélez as Colombian President in May 2002 and his pledge to strengthen the national military campaign aganist the region´s longest-surviving insurgency guerrilla group, Las FARC-EP, as well as other guerrilla factions, combined with a new focus on establishing the State project of “Democratic Security”; the military realm of governance and attempts to ensure property security and expanding capitalist investment have attained precedence in Colombia´s national political domains. This working paper examines the interrelated nature of Plan Colombia -as a binational and indeed regional security strategy- and Uribe´s Democratic Security project as a means of showing the manner in which they have worked to pave the way for the implementation of a new “total market” regime of accumulation, based on large-scale agro-industrial investment which is accelerated through processes of accumulation via dispossession. As such, the political and social reconfigurations involved manifest the multifarious scales of governance that become intertwined in incorporating neoliberalism in specific regions of the world economy. Furthermore, the militarisation-securitisation of such policies also illustrate the explicit contradictions of neoliberalism in a peripheral context, where coercion seems to prevail, something which leads to a profound questioning of the extent to which neoliberalism can be thought of as a hegemonic politico-economic project.

SA-ß-galactosidasa como predictor de senescencia celular del epitelio superficial ovárico y factores de riesgo de cáncer de ovario

Introducción: la tercera causa de muerte ginecológica es cáncer de ovario (CO), la detección temprana es fundamental para reducir mortalidad. El objetivo es establecer asociación entre senescencia en cultivos de tejido epitelial de ovario (ESO) mediante expresión de enzima ßgalactosidasa/normalizada y factores de riesgo reconocidos para CO. Métodos: estudio descriptivo observacional con fase exploratoria de datos proporcionados por “TRF2” segunda fase; muestra 29 tejidos de mujeres con ooforectomia condiciones benignas, analizadas estadísticamente con confianza del 95%, software SPSS versión 17, datos se presentan con desviación estándar, promedio, mediana (velocidad de crecimiento celular y ßgal/Normalizada) y porcentajes (variables categóricas). Realizo comparación con t-student, test de normalidad con Shapiro Wilks y asociación mediante análisis multivariado. Resultados: encuentra evidencia estadísticamente significativa (p < 0,05) para asociación entre antecedente familiar de otros tipos de cáncer con cáncer gástrico (IC95%: -2,84, -0,23) y cáncer de seno (IC95%: -3,39, -0,38); no tener régimen de afiliación en salud (vinculado) (IC95%: -3,67 -0,014); uso de método anticonceptivo de barrera (IC95%: -3,95, -0,07); consumo de embutidos (IC95%: -3,30, -0,21) y enlatados (IC95%: -3,62, -0,030) 1 a 3 veces/semana y consumo de alcohol (IC95%: -2,33, -0,33) con aumento expresión ßgal/Normalizada. Discusión: senescencia es antitumorigénica a edades tempranas, en avanzadas es protumorigénica, cuando hay mucha acumulación de células senescentes en tejido, éstas cambian su perfil senector produciendo sustancias que afectan a las vecinas, lo que lleva a transformación tumoral. Esta investigación es novedosa.

Perspectiva geopolítica del desplazamiento forzado en Colombia durante el período 2002-2010. Caso de estudio: franja fronteriza entre los Departamentos de Huila y Tolima

El presente escrito realiza una interpretación alternativa, espacialmente centrada, de la violencia y el desplazamiento forzado en Colombia, desde la teoría neomarxista y la escuela de la regulación, tomando como base la influencia que tienen los intereses y estrategias, eminentemente económicos y políticos, de los actores del conflicto sobre el desplazamiento forzado. Ello, centrándose temporalmente en el período 2002-2010 y tomando como caso de estudio la franja fronteriza entre los Departamentos del Huila y el Tolima, concretamente los Municipios de Planadas y Ataco, al sur del Tolima. La hipótesis planteada establece que el desplazamiento forzado en Colombia, en tanto que fenómeno espacial complejo, tiene variadas causas y diferentes a la violencia, dentro de las que se enlistan los intereses económicos y políticos, en la consolidación del bloque hegemónico territorial. Se inicia con una presentación de los conceptos y planteamientos teóricos de los que parte el análisis, para luego hablar de la mentalidad imperante a nivel global, en términos del modo de regulación y el régimen de acumulación, así como de la malla de actores que componen el bloque hegemónico nacional, sus intereses y estrategias; y finalmente centrarse en el estudio de caso seleccionado, caracterizando los municipios e ilustrando en qué consiste el juego de intereses de los actores del bloque hegemónico local y cuál es su impacto sobre el desplazamiento forzado.

Strain longitudinal global para la detección de estenosis coronaria significativa en pacientes con infarto agudo del miocardio

Introducción: La evaluación de la función miocárdica global y regional juega una papel crítico en el diagnóstico y manejo de los pacientes con enfermedad coronaria con importantes implicaciones pronosticas, las nuevas técnicas ecocardiográficas como la evaluación del STRAIN han sido validadas como una herramienta objetiva, comprehensiva y precisa para evaluar dichos parámetros. Objetivo: Determinar la capacidad del strain global longitudinal para la detección de estenosis coronaria significativa, número de territorios comprometidos y territorio anatómico del vaso culpable; en pacientes sin antecedentes de enfermedad coronaria previa con infarto agudo del miocardio. Diseño: estudio de pruebas diagnósticas retrospectivo en el que se utilizó como gold estándar la angiografía coronaria, se seleccionaron 64 pacientes con ecocardiograma transtorácico previo a la angiografía coronaria. Resultados: Se demostró una exactitud intermedia del strain global longitudinal para detectar estenosis coronaria por análisis de curvas ROC, con un área bajo la curva de 0,78 p= 0,000 (IC 0,6; 1,0), Una sensibilidad de 96.5% (91.7%, 101.3%), especificidad 40.0% (9.6%, 70.4%) y una prevalencia real del enfermedad coronaria de 85.1% (76.5%, 93.6%) Conclusiones: La medición de la función global y regional por medio del strain global longitudinal identifica pacientes con infarto agudo del miocardio que tienen estenosis coronaria significativa, número de territorios afectados, y la distribución anatómica de los posibles vasos culpables, sin embargo hay que tener precaución en su uso que sólo se limite a escenarios en donde pueda ser interpretado adecuadamente. Palabras clave: strain global bidimensional, detección de estenosis coronaria significativa, infarto del miocardio.

Curva de aprendizaje para ventana ecográfica de la vena cava inferior, en residentes de medicina de emergencias

INTRODUCCIÓN. El ultrasonido es fundamental en la medicina de emergencias, no se conoce cual debería ser la curva de aprendizaje para obtener las competencias técnicas y operativas; ACEP recomienda por cada ventana ecográfica realizar 25 repeticiones. No existe una curva de aprendizaje para ventana de VCI en la población de residentes colombianos. OBJETIVO: Determinar la curva de aprendizaje necesaria para obtener una proporción mayor al 80% de éxitos en la toma de la ventana ecográfica de la VCI, usando la escala de calificación para el aseguramiento de la calidad sugerida por ACEP, en residentes de I a III año de medicina de emergencias. METODOLOGÍA: Estudio experimental no comparativo, que evaluó la proporción de éxito en función del las tomas repetidas de la VCI por ultrasonido, mediciones que se tomaron luego de participar en una capacitación teórica y demostrativa de la técnica propuesta; se calificaron los videos según la escala publicada por ACEP. El análisis estadístico se realizó con un modelo logístico multinivel para la proporción del éxito, agrupado por repetición y agrupado por sujeto. RESULTADOS: Se obtuvo información de 8 residentes, cada uno realizo 25 repeticiones a 3 modelos sanos con asignación aleatoria. Se realizó la curva de aprendizaje obteniendo en 11 repeticiones una proporción de 0.80 (rango 0.54 a 0.92) y en 21 repeticiones una proporción de 0.9 (rango 0.75 a 0.96), datos ajustados por numero de repetición y residente. CONCLUSIÓN: La curva de aprendizaje para la ventana ecográfica de la VCI es de 11 y 21 repeticiones para obtener el 80% y 90% de éxito en residentes de medicina de emergencias de I a III año de la universidad del rosario.

Equidad en la Educación Superior Cubana : Logros y Desafíos

La inclusión social en la educación y particularmente en la educación superior constituye un campo de estudio relevante definido a su significativo impacto sobre el desarrollo económico y social. En el caso de América Latina, es bien conocido el carácter excluyente que han tenido sus universidades como herencia de 300 años de colonialismo, la esclavitud de negros e indígenas y la tradicional discriminación de género. En el caso de Cuba, el Gobierno resultante de la Revolución de 1959 ha realizado notables esfuerzos para promover la inclusión de grupos tradicionalmente vulnerables por razones de género o color de la piel, a pesar de las difíciles condiciones económicas derivadas de la hostilidad del Gobierno de los Estados Unidos. Los resultados alcanzados demuestran una fuerte tendencia a la equidad, sin embargo, existen otros determinantes de vulnerabilidad como la acumulación de capital cultural, que deben reforzarse en los próximos años debido a la implantación de un sistema de acceso meritocrático, y a los cuales debe prestarse especial atención pues pueden convertirse en factores de exclusión en el largo y mediano plazo. Algunos de estos determinantes como la escolaridad de los padres, la calidad de la enseñanza precedente y el ambiente cultural comunitario son considerados en el presente trabajo.

Selection-mutation balance models with epistatic selection

We present an application of birth-and-death processes on configuration spaces to a generalized mutation4 selection balance model. The model describes the aging of population as a process of accumulation of mu5 tations in a genotype. A rigorous treatment demands that mutations correspond to points in abstract spaces. 6 Our model describes an infinite-population, infinite-sites model in continuum. The dynamical equation which 7 describes the system, is of Kimura-Maruyama type. The problem can be posed in terms of evolution of states 8 (differential equation) or, equivalently, represented in terms of Feynman-Kac formula. The questions of interest 9 are the existence of a solution, its asymptotic behavior, and properties of the limiting state. In the non-epistatic 10 case the problem was posed and solved in [Steinsaltz D., Evans S.N., Wachter K.W., Adv. Appl. Math., 2005, 11 35(1)]. In our model we consider a topological space X as the space of positions of mutations and the influence of epistatic potentials

Interactions between mass balance, atmospheric circulation, and recent climate change on the Djankuat Glacier, Caucasus Mountains, Russia

This paper reports recent changes in the mass balance record from the Djankuat Glacier, central greater Caucasus, Russia, and investigates possible relationships between the components of mass balance, local climate, and distant atmospheric forcing. The results clearly show that a strong warming signal has emerged in the central greater Caucasus, particularly since the 1993/1994 mass balance year, and this has led to a significant increase in the summer ablation of Djankuat. At the same time, there has been no compensating consistent increase in winter precipitation and accumulation leading to the strong net loss of mass and increase in glacier runoff. Interannual variability in ablation and accumulation is partly associated with certain major patterns of Northern Hemisphere climatic variability. The positive phase of the North Pacific (NP) teleconnection pattern forces negative geopotential height and temperature anomalies over the Caucasus in summer and results in reduced summer melt, such as in the early 1990s, when positive NP extremes resulted in a temporary decline in ablation rates. The positive phase of the NP is related to El Nino-Southern Oscillation, and it is possible that a teleconnection between the tropical Pacific sea surface temperatures and summer air temperatures in the Caucasus is bridged through the NP pattern. More recently, the NP pattern was predominantly negative, and this distant moderating forcing on summer ablation in the Caucasus was absent. Statistically significant correlations are observed between accumulation and the Scandinavian (SCA) teleconnection pattern. The frequent occurrence of the positive SCA phase at the beginning of accumulation season results in lower than average snowfall and reduced accumulation. The relationship between the North Atlantic Oscillation (NAO), Arctic Oscillation, and accumulation is weak, although positive precipitation anomalies in the winter months are associated with the negative phase of the NAO. A stronger positive correlation is observed between accumulation on Djankuat and geopotential height over the Bay of Biscay unrelated to the established modes of the Northern Hemisphere climatic variability. These results imply that the mass balance of Djankuat is sensitive to the natural variability in the climate system. Distant forcing, however, explains only 16% of the variance in the ablation record and cannot fully explain the recent increase in ablation and negative mass balance.

Heterotic and seed rate effects on nitrogen efficiencies in wheat

Four field experiments over 2 years investigated whether wheat hybrids had higher nitrogen-use efficiency (NUE) than their parents over a range of seed rates and different N regimes. There was little heterosis for total N in the above-ground biomass (NYt), but there was high-parent heterosis for grain N yields (NYg) in two of the hybrids, Hyno Esta and Hyno Rista, associated with greater nitrogen harvest index (NHI). Overall, the hybrids did not significantly increase the total dry matter produced per unit N in the above-ground crop (NUtE(t)), but did increase the grain dry matter per unit N in the above ground crop (NUtE(g)). The improvement in NUtE(g) was at the partial detriment of grain N concentration. Heterosis for grain NYg in Hyno Esta was lower at zero-N, suggesting that it did not achieve higher yields through more efficient capture or utilization of N. The greater NHI in Hyno Esta appeared to be facilitated by both greater N uptake, and remobilization of N from vegetative tissues, after anthesis. The response of N efficiency and uptake to seed rate was dependent on N supply and season. Where N fertilizer was applied, N uptake over time was slower at the lower seed rates, but where N was withheld N capture at the lowest seed rate soon approached the N capture of the higher seed rates. During grain filling, the rate of accumulation of N into the grain increased with seed rate and the duration of N accumulation decreased with seed rate. With N applied, N yields increased to all asymptote with seed rate, when N was withheld there was little response of N yields to seed rate. In 2002, N utilization efficiency (NUtE(t) and NUtE(g)) also increased asymptotically with seed rate, but in 2003 seed rate had little effect on N utilization efficiency. When nitrogen fertilizer had not been applied, NHI consistently decreased with increasing seed rate. The timing of N application made little difference to NUE, NY, or NUtE.

Electrical signature in polar night cloud base variations

Layer clouds are globally extensive. Their lower edges are charged negatively by the fair weather atmospheric electricity current flowing vertically through them. Using polar winter surface meteorological data from Sodankyla ̈ (Finland) and Halley (Antarctica), we find that when meteorological diurnal variations are weak, an appreciable diurnal cycle, on average, persists in the cloud base heights, detected using a laser ceilometer. The diurnal cloud base heights from both sites correlate more closely with the Carnegie curve of global atmospheric electricity than with local meteorological measurements. The cloud base sensitivities are indistinguishable between the northern and southern hemispheres, averaging a (4.0 ± 0.5) m rise for a 1% change in the fair weather electric current density. This suggests that the global fair weather current, which is affected by space weather, cosmic rays and the El Nin ̃o Southern Oscillation, is linked with layer cloud properties.

A new South American network to study the atmospheric electric field and its variations related to geophysical phenomena

In this paper we present the capability of a new network of field mill sensors to monitor the atmospheric electric field at various locations in South America; we also show some early results. The main objective of the new network is to obtain the characteristic Universal Time diurnal curve of the atmospheric electric field in fair weather, known as the Carnegie curve. The Carnegie curve is closely related to the current sources flowing in the Global Atmospheric Electric Circuit so that another goal is the study of this relationship on various time scales (transient/monthly/seasonal/annual). Also, by operating this new network, we may also study departures of the Carnegie curve from its long term average value related to various solar, geophysical and atmospheric phenomena such as the solar cycle, solar flares and energetic charged particles, galactic cosmic rays, seismic activity and specific meteorological events. We then expect to have a better understanding of the influence of these phenomena on the Global Atmospheric Electric Circuit and its time-varying behavior.

Mixed-phase cloud physics and Southern Ocean cloud feedback in climate models

Increasing optical depth poleward of 45° is a robust response to warming in global climate models. Much of this cloud optical depth increase has been hypothesized to be due to transitions from ice-dominated to liquid-dominated mixed-phase cloud. In this study, the importance of liquid-ice partitioning for the optical depth feedback is quantified for 19 Coupled Model Intercomparison Project Phase 5 models. All models show a monotonic partitioning of ice and liquid as a function of temperature, but the temperature at which ice and liquid are equally mixed (the glaciation temperature) varies by as much as 40 K across models. Models that have a higher glaciation temperature are found to have a smaller climatological liquid water path (LWP) and condensed water path and experience a larger increase in LWP as the climate warms. The ice-liquid partitioning curve of each model may be used to calculate the response of LWP to warming. It is found that the repartitioning between ice and liquid in a warming climate contributes at least 20% to 80% of the increase in LWP as the climate warms, depending on model. Intermodel differences in the climatological partitioning between ice and liquid are estimated to contribute at least 20% to the intermodel spread in the high-latitude LWP response in the mixed-phase region poleward of 45°S. It is hypothesized that a more thorough evaluation and constraint of global climate model mixed-phase cloud parameterizations and validation of the total condensate and ice-liquid apportionment against observations will yield a substantial reduction in model uncertainty in the high-latitude cloud response to warming.