Papers by Antonio Al'atorre
South Asian Journal of Social Studies and Economics, 2018
This particular study is aimed to develop some proper mathematical model to
justify the big data ... more This particular study is aimed to develop some proper mathematical model to
justify the big data consuming economical framework with the proper social interactions. So that it
can build some major key processes assessing several types of economical frames
American Journal of Advanced Research, 2019
This paper works as a motivation to consider stronger methods in TDA (Topological Data Analysis).... more This paper works as a motivation to consider stronger methods in TDA (Topological Data Analysis). We discuss some of the main principles used currently in Big Data analysis. This discussion points became evident while we apply TDA to Big Data. Mathematical formal concepts might be considered, in order, to obtain better results from Data Analysis. Among these arguable principles, it may be considered “data grouping methods”, and also “relation data base-graph and its connection”. We discuss the topological argument, which stands as a powerful tool on Big Data analysis and TDA, from “inverse numbers” methodology, and we present a qualitative description of “Invariant Method” which we think is a strong methodology in order to obtain valuable hidden information from Big Data sets. Furthermore, we propose an algorithm to invariant method.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY, 2019
Main features and mechanism of a calibration abelian theory constructed on U(1) Lie group is pres... more Main features and mechanism of a calibration abelian theory constructed on U(1) Lie group is presented. Given
Lorentz invariants for which local invariance principle is satisfied, its respective action is built. Calibration field
and its curvature are obtained from U(1) symmetries. Maxwell electromagnetic formalism has been developed for
this model. Induced Chern-Simmons action is reduced to 2+1 dimensions and Maxwell equations rewrote. Both
magnetic and electric field equations are solved from Maxwell theory, and obtained Klein Gordon massive wave
field equations, which presented topological mass
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY, 2019
Calibration field theory on local non-abelian Lie group SU(2) has been developed. Gauge-Lorenz in... more Calibration field theory on local non-abelian Lie group SU(2) has been developed. Gauge-Lorenz invariance has
been used. It is also shown that field action and its field equations may be built in terms of Yang-Mills
approximation to obtain massive field terms. Chern-Simmons formalism aloud induced topology in field theory,
obtaining at last topological mass generation.
The main purpose of this work is to reproduce the method used for U.S. market which consists in
t... more The main purpose of this work is to reproduce the method used for U.S. market which consists in
the approach of random matrices to crossed correlation matrices built with financial data taken
from a Mexican stock market database. First we built a cross correlation empirical matrix with
these financial data. Eigenvalue spectrum was obtained from this matrix. We made the same spectrum
analysis for a random matrix, and finally we compared both eigenvalue sets, and we tried to
set up a hypothesis of how risk was related to this random matrix-correlation matrix approach.
We used financial data over a period of six months and time series where made upon three hours
measures for crossed correlation matrix.
This essay is about to describe historically the evolution and trajectories of String Theory and ... more This essay is about to describe historically the evolution and trajectories of String Theory and its respective derivatives, such as M-Theory and the well known Super-String Theory. I begin talking about the scientific and historical frame in which string theory was born, and the context existent few years since this happens. Besides, the subject has been analyzed from a philosophical point of view, and I also analyzed the context of the scientific community in a sooner epoch since string theory was born. Moreover I described how string theory changed to give to physics a stronger string theory and some other close theories based upon the first one. Finally i point out the interesting phenomena of this theory that is about how famous string theory has become and the question: who actually invented it and who truly released it as a divulgation subject.
Este artículo describe el análisis de datos financieros sobre un período de 6 meses, y específica... more Este artículo describe el análisis de datos financieros sobre un período de 6 meses, y específicamente una base a datos financieros conocidos de la Bolsa Mexicana de Valores (BMV), basados en elíndice de precios y costos (IPC) de treinta y cinco empresas emisoras que cotizaron continuamente en dicho período. Se utilizaron los precios de las acciones de dichas empresas como representantes de sus respectivas empresas en una serie de tiempo. Cada serie de tiempo de dicha empresa se trató matemáticamente de tal forma que se pudiera anexar a una matriz de correlación cruzada empírica, componiendo de esta manera lo que conocemos como entradas de la matriz de correlación empírica cruzada.Como es usual; el modelo de retorno y riesgo de los precios de las acciones considerado aquí, se basa en el concepto de "Portafolio de Markowitz".Por tanto se obtuvieron las gráficas de los eigenvalores de esta matriz, y se procedió a aplicar el proceso de hipótesis nula, que para este caso se trata de comparar la primer matriz contra otras dos generadas en base a la teoría de matrices aleatorias (TMA).Básicamente la primer sección de este artículo trata sobre las razones por las cuales realizamos esta prueba de hipótesis,también se muestra el trasfondo físico detrás de la TMA, alguna información econométrica necesaria para entender este artículo, y por supuesto el desarrollo matemático-estadístico para construir las matrices.En las siguientes secciones se construye y analiza la matriz de correlación empírica, y similarmente ocurre lo mismo para el caso de las matrices construídas bajo TMA. Para el análisis en base a la teoría de matrices aleatorias, se presentan básicamente dos hipótesis; nula y alternativa. La hipótesis alternativa consiste en la comparación de una matriz totalmente aleatoria llamada A, y por parte de la hipótesis nula, tenemos una matriz de correlación que es aleatoria E -la cual no presenta correlación cruzada-y construida en base al teorema de Marcenko-Pastur. Finalmente se analizan estas matrices en comparación con la matriz empírica C. El análisis y las comparaciones se realizan en términos de su respectivo análisis espectral -distribuciones de eigenvalores de las matrices-y finalmente se obtienen conclusiones en base a estas dos comparaciones sobre TMA.También se muestran los análisis gráficos de todas las series de tiempo que estuvieron involucradas en el proceso, y las gráficas de los vectores que conforman la base de la matriz aleatoria E. Además de esto, se trataron algunas correcciones al apartado de GOE -Conjunto Gaussiano Ortogonal-que viene explicado en el artículo 2 de la bibliografía.También viene un apartado al final con algunas aplicaciones de esto resultados a la teoría de financiera de Riesgos. El software utilizado en este artículo aparte del compilador LATEX con el cual se escribe, es STATGRPAHICS, Microsoft EXCEL y MATLAB.
An Analytic model which describes properly the energy liberated or dissipated by a hurricane is
p... more An Analytic model which describes properly the energy liberated or dissipated by a hurricane is
presented. Nowadays exists some kind of information related to the energy liberated by a hurricane, which
we can nd with a non safe source at all at the internet. This model can give numerical values which
represents the amount of energy liberated per time unit by a hurricane. Also there are presented some
speci c examples of the functioning of this model with the information of a few hurricanes, and a data
base containing the energy values for the energy liberated by the same list of hurricanes calculated with
the model. Mathematically speaking, the model is represented by an integral equation which is ought to be
solved numerically, and it was nd also a way to calculate this energy values thru the integral just solving
this integral rst and then substitute the respective values in this last expression.
Conference Presentations by Antonio Al'atorre
Uploads
Papers by Antonio Al'atorre
justify the big data consuming economical framework with the proper social interactions. So that it
can build some major key processes assessing several types of economical frames
Lorentz invariants for which local invariance principle is satisfied, its respective action is built. Calibration field
and its curvature are obtained from U(1) symmetries. Maxwell electromagnetic formalism has been developed for
this model. Induced Chern-Simmons action is reduced to 2+1 dimensions and Maxwell equations rewrote. Both
magnetic and electric field equations are solved from Maxwell theory, and obtained Klein Gordon massive wave
field equations, which presented topological mass
been used. It is also shown that field action and its field equations may be built in terms of Yang-Mills
approximation to obtain massive field terms. Chern-Simmons formalism aloud induced topology in field theory,
obtaining at last topological mass generation.
the approach of random matrices to crossed correlation matrices built with financial data taken
from a Mexican stock market database. First we built a cross correlation empirical matrix with
these financial data. Eigenvalue spectrum was obtained from this matrix. We made the same spectrum
analysis for a random matrix, and finally we compared both eigenvalue sets, and we tried to
set up a hypothesis of how risk was related to this random matrix-correlation matrix approach.
We used financial data over a period of six months and time series where made upon three hours
measures for crossed correlation matrix.
presented. Nowadays exists some kind of information related to the energy liberated by a hurricane, which
we can nd with a non safe source at all at the internet. This model can give numerical values which
represents the amount of energy liberated per time unit by a hurricane. Also there are presented some
speci c examples of the functioning of this model with the information of a few hurricanes, and a data
base containing the energy values for the energy liberated by the same list of hurricanes calculated with
the model. Mathematically speaking, the model is represented by an integral equation which is ought to be
solved numerically, and it was nd also a way to calculate this energy values thru the integral just solving
this integral rst and then substitute the respective values in this last expression.
Conference Presentations by Antonio Al'atorre
justify the big data consuming economical framework with the proper social interactions. So that it
can build some major key processes assessing several types of economical frames
Lorentz invariants for which local invariance principle is satisfied, its respective action is built. Calibration field
and its curvature are obtained from U(1) symmetries. Maxwell electromagnetic formalism has been developed for
this model. Induced Chern-Simmons action is reduced to 2+1 dimensions and Maxwell equations rewrote. Both
magnetic and electric field equations are solved from Maxwell theory, and obtained Klein Gordon massive wave
field equations, which presented topological mass
been used. It is also shown that field action and its field equations may be built in terms of Yang-Mills
approximation to obtain massive field terms. Chern-Simmons formalism aloud induced topology in field theory,
obtaining at last topological mass generation.
the approach of random matrices to crossed correlation matrices built with financial data taken
from a Mexican stock market database. First we built a cross correlation empirical matrix with
these financial data. Eigenvalue spectrum was obtained from this matrix. We made the same spectrum
analysis for a random matrix, and finally we compared both eigenvalue sets, and we tried to
set up a hypothesis of how risk was related to this random matrix-correlation matrix approach.
We used financial data over a period of six months and time series where made upon three hours
measures for crossed correlation matrix.
presented. Nowadays exists some kind of information related to the energy liberated by a hurricane, which
we can nd with a non safe source at all at the internet. This model can give numerical values which
represents the amount of energy liberated per time unit by a hurricane. Also there are presented some
speci c examples of the functioning of this model with the information of a few hurricanes, and a data
base containing the energy values for the energy liberated by the same list of hurricanes calculated with
the model. Mathematically speaking, the model is represented by an integral equation which is ought to be
solved numerically, and it was nd also a way to calculate this energy values thru the integral just solving
this integral rst and then substitute the respective values in this last expression.