Strength of convergence in the orbit space of a groupoid

Let G be a second-countable locally-compact Hausdorff groupoid with a Haar system, and let {x_n} be a sequence in the unit space of G. We show that the notions of strength of convergence of {x_n} in the orbit space and measure-theoretic accumulation along the orbits are equivalent ways of realising multiplicity numbers associated to a sequence of induced representation of the groupoid C*-algebra.Comment: 34 page

CO2lonialismo y geografías de esperanza

Este artículo nos lleva, más allá de la crisis económica, hacia el calentamiento global y nos advierte de un problema profundo: un defecto estructural en el capitalismo. Vinculando teóricamente cambio climático, colonialismo y capitalismo, se estudia a San Lorenzo como una frontera agrícola en la que el CO2lonialismo se despliega a través del cultivo de palma aceitera y la producción de agrocombustibles. Esta investigación resalta las prácticas culturales y espaciales a través de las cuales las comunidades afro-ecuatoriana, chachi, y awá construyen y sostienen “geografías de esperanza” en medio de bosques talados, ríos envenenados y conflictos sociales. A través de la exposición detallada de la deuda ecológica del Norte global con el Sur global, este artículo condena discursos y acciones que se enfocan en el mejoramiento del clima económico mientras arrasan los bosques húmedos, las prácticas culturales de vida de las comunidades y las soluciones reales al cambio climático.This paper takes us beyond the present economic crisis to where global warming warns of a much more profound problem: a structural flaw in capitalism. Theoretically linking relations between climate change, colonialism, and capitalism, San Lorenzo is investigated as an agricultural frontier where “CO2lonialism” unfolds in African oil palm cultivation and agrofuel production. This research highlights the cultural and spatial practices through which Afro-Ecuadorian, Chachi, and Awá communities construct and sustain “geographies of hope” amid landscapes of fallen forests, poisoned rivers and social conflicts. Expounding on the ecological debt of the Global North to the Global South, this paper condemns discourses and actions that solely focus on improving the economic climate while bulldozing rainforests, livelihoods, and real solutions to climate change

Barriers to Utility-­‐Scale Wind Development in New York State

New York State has the potential to cultivate 52% of its current electric needs from wind power. However, harnessing the State’s rich wind resources is only possible if strong renewable energy policies are in place. This thesis explores New York’s energy policies through the experience of wind developers working in the state. It uses information obtained through interviews with wind developers to argue that New York’s centralized regulatory framework for siting and connecting electric facilities and purchasing of renewable energy attributes may not be ideal for attracting wind development. It concludes that in order for New York to realize its wind potential the state must extend and expand its Renewable Portfolio Standard and introduce greater flexibility into its regulatory framework. Without taking these steps to foster a political and economic environment favorable to the wind industry, wind development in the state will stagnate

Sums over positive integers with few prime factors

AbstractThe author has presented estimates for sums of multiplicative functions, satisfying certain conditions, extended over positive integers n such that n is less than or equal to xt, the greatest prime factor of n is at most equal to x, and n is relatively prime to a natural number k. These estimates are uniform in t, x, and k

Anger: In Black & White: A Meta Analysis

The following research investigates whether black and white populations have divergent perceptions of anger and anger expressions in black and white males. A great deal of the research to follow concerns itself with exploring what anger is and how it is delineated. What becomes readily apparent is that anger is a complex component of human experience. There is general agreement that culture and environment are important components in anger expression. The purpose of this research is three fold: 1. Investigate the definition of anger. 2. Investigate whether black and white populations view anger differently and if so how, and 3. Determine whether the existence of this difference is quantifiable. The primary goal of the literature review is not to make arguments, though there are some extrapolations that can be made relating to the thesis and research questions. The primary purpose is to provide background information on the nature and complexity of anger, and how those complexities impact the research questions and thesis. The results of the quantitative research demonstrate that black and white populations diverge on anger perceptions in white and black males. The data indicates blacks view anger in a much more complex perspective than whites. Blacks are more inclined to examine reasons why anger occurs before attributing value to its validity of expression more than whites

Categorising the operator algebras of groupoids and higher-rank graphs

This dissertation concerns the classification of groupoid and higher-rank graph C*-algebras and has two main components. Firstly, for a groupoid it is shown that the notions of strength of convergence in the orbit space and measure-theoretic accumulation along the orbits are equivalent ways of realising multiplicity numbers associated to a sequence of induced representations of the groupoid C*-algebra. Examples of directed graphs are given, showing how to determine the multiplicity numbers associated to various sequences of induced representations of the directed graph C*-algebras. The second component of this dissertation uses path groupoids to develop various characterisations of the C*-algebras of higher-rank graphs. Necessary and sufficient conditions are developed for the Cuntz-Krieger C*-algebras of row-finite higher-rank graphs to be liminal and to be postliminal. When Kumjian and Pask's path groupoid is principal, it is shown precisely when these C*-algebras have bounded trace, are Fell, and have continuous trace. Necessary and sufficient conditions are provided for the path groupoids of row-finite higher-rank graphs without sources to have closed orbits and to have locally closed orbits. When these path groupoids are principal, necessary and sufficient conditions are provided for them to be integrable, to be Cartan and to be proper.Comment: PhD thesis, 132 page

Anger: In Black & White: A Meta Analysis

The following research investigates whether black and white populations have divergent perceptions of anger and anger expressions in black and white males. A great deal of the research to follow concerns itself with exploring what anger is and how it is delineated. What becomes readily apparent is that anger is a complex component of human experience. There is general agreement that culture and environment are important components in anger expression. The purpose of this research is three fold: 1. Investigate the definition of anger. 2. Investigate whether black and white populations view anger differently and if so how, and 3. Determine whether the existence of this difference is quantifiable. The primary goal of the literature review is not to make arguments, though there are some extrapolations that can be made relating to the thesis and research questions. The primary purpose is to provide background information on the nature and complexity of anger, and how those complexities impact the research questions and thesis. The results of the quantitative research demonstrate that black and white populations diverge on anger perceptions in white and black males. The data indicates blacks view anger in a much more complex perspective than whites. Blacks are more inclined to examine reasons why anger occurs before attributing value to its validity of expression more than whites

The Greener grass principle

Discusses the making of the artist\u27s animated film