Many-body Lattice Wavefunctions From Conformal Blocks

We introduce a general framework to construct many-body lattice wavefunctions starting from the conformal blocks (CBs) of rational conformal field theories (RCFTs). We discuss the different ways of encoding the physical degrees of freedom of the lattice system using both the internal symmetries of the theory and the fusion channels of the CBs. We illustrate this construction both by revisiting the known Haldane-Shastry model and by providing a novel implementation for the Ising RCFT. In the latter case, we find a connection to the Ising transverse field (ITF) spin chain via the Kramers-Wannier duality and the Temperley-Lieb-Jones algebra. We also find evidence that the ground state of the finite-size critical ITF Hamiltonian corresponds exactly to the wavefunction obtained from CBs of spin fields

Parque cultural y corredor ecológico barrios Buenos Aires, Los Pinos

Artículo de investigaciónEl proyecto comprende la revitalización de los sectores urbanizados informalmente. Primero analizando sus problemáticas, déficit y alteraciones que han tenido en el transcurso del tiempo. Posteriormente se realizo una propuesta estratégica de espacio publico en el que se abarcaron en la medida de lo posible todas las falencias de estos sectores, tomando en cuenta conceptos de diseño como : Borde, inclusión, paisajismo y tejido urbano.RESUMEN ABSTRACT INTRODUCCION METODOLOGIA OBJETIVO GENERAL RESULTADOS DISCUSION CONCLUSION AGRADECIMIENTOS BIBLIOGRAFIA ANEXOSPregradoArquitect

La guerra como antítesis del derecho y la visión estatalista de la guerra civil Notas a propósito de la guerra civil colombiana de 1859-1862

Based on Norberto Bobbio’s proposal in El problema de la guerra y las vías de la paz, this article presents an approach to the antithetical relationship between war and law—that is, one in which war is considered the antithesis of law—in the historical context of the civil war from 1859 to 1862 in the Grenadian Confederation. The proposed theoretical analysis, which refers to the state and modern vision of the civil war, is complemented with a historical component by tracing the meanings of the aforementioned antithetical relationship in the letters that President Mariano Ospina and General Tomás Cipriano de Mosquera exchanged about some events of the civil war.Con base en la propuesta de Norberto Bobbio en El problema de la guerra y las vías de la paz, de 1979, este artículo presenta una aproximación a la relación antitética entre la guerra y el derecho, es decir, aquella en que se considera la guerra como antítesis del derecho, en el contexto histórico de la guerra civil de 1859 a 1862 en la Confederación Granadina. El análisis teórico planteado, que remite a la visión estatalista y moderna de la guerra civil, se complementa con un componente histórico, por medio de un ejercicio de rastreo de sentidos de la mencionada relación antitética, en las cartas que, a propósito de algunos eventos de la guerra citada, intercambiaron el presidente Mariano Ospina y el general Tomás Cipriano de Mosquera

Agent-Based Model for Studying Diabetes under the Influence of Relationships

Diabetes is a disease which affects levels of blood insulin and recently has turned into a public health threat. This disease presents a huge risk for the individual, as it can reduce life expectancy. Furthermore, many models of diabetes just focus on biological or eating habits, without taking into account social or cultural factors. In this work, an agent-based model is proposed for the diabetic population taking into account interpersonal relationships and body mass index. The model is implemented in NetLogo and validated by results under extreme conditions. Then, it is simulated to test the influence that marriage has on the diabetic population. Finally, a sensitivity analysis is mad

Funciones multisimétricas y politopos de transporte

Los politopos son objetos combinatorios presentes en diversas ramas de las matemáticas. En este trabajo realizamos un estudio de la estructura de politopos de transporte presente en el anillo de funciones multisimétricas, particularmente en la regla del producto de dichas funciones. Los resultados más importantes se obtienen examinando las matrices que aparecen en dicha regla pensándolas como politopos de transporte. El primer resultado nos dice que estas matrices se puede descomponer como la unión disjunta de puntos de politopos de transporte de 2 vías clásicos, el segundo resultado muestra una cota superior para dicho conjunto con margenes fijas y tamaño variable. El ultimo resultado afirma que cada elemento de la descomposición que aparece en el primer resultado se pueden representar como las soluciones a un sistema de ecuaciones lineales. Finalmente se hacen referencias a distintas aplicaciones de estos nuevos objetos y se plantean temas abiertos para trabajar en el futuro.Polytopes are combinatorial objects in several branches of mathematics. In this work we study the structure of transportation polytopes underling in the ring of multisymmetric functions, in particular, we study the product rule of that functions. The main results have been obtained when we study a set of matrices in that rule thinking them as transportation polytopes. The first result says that those matrices can be written as disjoint union of elements of classic 2-way transportation polytopes, the second result gives us an upper bound for that set of matrices with fix margins and variable size and the last result show that each element of the decomposition appearing in the first result can be obtained as the solutions of a system of linear equations. Finally, we provide several applications of those objects and we propose open problems to work in the future.Matemático (a)Pregrad

Improving customer waiting time for medicine-retrieval center

Neuromedica is a Colombian pharmacy which provides treatment for people with neurological diseases. Recently, Neuromedica started attending patients from other pharmacy which led to a significant increase in the waiting time. In this pharmacy, people are classified and attended due to certain priorities. The data, given by Neuromedica, is analyzed using boxplots, Kruskal-Wallis and Kolmogorov-Smirnov tests with Python’s library Scipy. The objective of this work is to determine the number of assistants and queue logistic such that the waiting time has a significant reduction, with the purpose to provide a satisfactory level of service. A discrete-event simulation model was created and implemented in Python. A heuristic approach to minimize the waiting time is used. Additionally, a sensitivity analysis is made on the assumed distributions

Automatic authorship analysis using Deep neural networks

Authorship analysis helps to study the characteristics that distinguish how two different persons write. Writing style can be extracted in several ways, like using bag of words strategies or handcrafted features. However, with the growing of Internet, we have been able to witness an increase in the amount of user generated data in social networks like Facebook or Twitter. There is an increasing need in generating automatic methods capable of analyzing the style of a document for tasks like: determining the age of the author, determining the gender of the author, determining the authorship of the document given a set of possible authors, etc. Previous tasks are better known as author profiling and authorship attribution. Although capturing the style of an author can be a challenging task, in this thesis we explore representation learning strategies, in order to take advantage of the large amount of data generated by social media. In this thesis, we learned proper representations for the text inputs that were able to learn such patterns that are only distinguishable to an author (authorship attribution) or a social group of authors (author profiling). Proposed methods were compared using different publicly available datasets using social media data. Both author profiling and authorship attribution tasks are addressed using representation learning techniques such as convolutional neural networks and gated multimodal units. Our unimodal author profiling approach was submitted to the profiling shared task of the laboratory on digital forensics and stylometry(PAN). For authorship attribution, we proposed a convolutional neural network using character n-grams as input. We found that our approach outperformed standard attribution based methods as well as word based convolutional neural networks. For the author profiling task, we proposed one convolutional neural network for unimodal author profiling and adapted a gated multimodal unit for multimodal author profiling. The multimodal nature of user generated content consists of a scenario where the social group of an author can be determined not only using his/her written texts but using also the images that the user shared across the social networks. Gated multimodal units outperformed standard information fusion strategies: early and late fusion.Maestrí