9 results on '"Soto-Campos, Carlos A."'
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2. An extended approach for the generalized powered uniform distribution
- Author
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Rondero-Guerrero, Carlos, González-Hernández, Isidro, and Soto-Campos, Carlos
- Published
- 2022
- Full Text
- View/download PDF
3. Evidence of Self-Organization in Time Series of Capital Markets
- Author
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Sánchez-Cantú, Leopoldo, Soto-Campos, Carlos Arturo, and Kryvko, Andriy
- Subjects
Quantitative Finance - Statistical Finance - Abstract
A methodology is developed to identify, as units of study, each decrease in the value of a stock from a given maximum price level. A critical level in the amount of price declines is found to separate a segment operating under a random walk from a segment operating under a power law. This level is interpreted as a point of phase transition into a self-organized system. Evidence of self-organization was found in all the stock market indices studied but in none of the control synthetic random series. Findings partially explain the fractal structure characteristic of financial time series and suggest that price fluctuations adopt two different operating regimes. We propose to identify downward movements larger than the critical level apparently subject to the power law, as self-organized states, and price decreases smaller than the critical level, as a random walk with the Markov property.
- Published
- 2016
4. Noncommutative Reissner-Nordstr{\o}m Black hole
- Author
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Soto-Campos, Carlos A. and Valdez-Alvarado, Susana
- Subjects
General Relativity and Quantum Cosmology - Abstract
A deformed embedding of the Reissner-Nordstr{\o}m spacetime is constructed within the framework of a noncommutative Riemannian geometry. We find noncommutative corrections to the usual Riemannian expressions for the metric and curvature tensors, which, in the case of the metric, are valid to all orders in the deformation parameter. We calculate the area of the event horizon of the corresponding noncommutative R-N black-hole, obtaining corrections up to fourth order in the deformation parameter for the area of the black-hole. Finally we include some comments on the noncommutative version on one of the second order scalar invariants of the Riemann tensor, the so called Kretschmann invariant, a quantity regularly used in order to extend gravity to quantum level., Comment: 7 page
- Published
- 2015
- Full Text
- View/download PDF
5. Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
- Author
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Garcia-Compean, Hugo and Soto-Campos, Carlos
- Subjects
High Energy Physics - Theory - Abstract
We discuss some possible implications of a two-dimensional toy model for black hole evaporation in noncommutative field theory. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of massless and Hermitian scalar fields in the event horizon of a Schwarzschild black hole. We find that noncommutativity will affect the flux of outgoing particles and the nature of its UV/IR divergences. Moreover, we show that the noncommutative interaction does not affect Leahy's and Unruh's interpretation of thermal ingoing and outgoing fluxes in the black hole evaporation process. Thus, the noncommutative interaction still destroys the thermal nature of fluxes. In the process, some nonlocal implications of the noncommutativity are discussed., Comment: 33+1 pages, 3 eps figures, typos corrected, references added, figure 3 corrected, modifications in sections 4 and 6, version published in Phys. Rev. D
- Published
- 2006
- Full Text
- View/download PDF
6. Gravitational Anomalies in Noncommutative Field Theory
- Author
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Estrada-Jimenez, Sendic, Garcia-Compean, Hugo, and Soto-Campos, Carlos
- Subjects
High Energy Physics - Theory - Abstract
Gravitational axial and chiral anomalies in a noncommutative space are examined through the explicit perturbative computation of one-loop diagrams in various dimensions. The analysis depend on how gravity is coupled to noncommutative matter fields. Delbourgo-Salam computation of the gravitational axial anomaly contribution to the pion decay into two photons, is studied in detail in this context. In the process we show that the two-dimensional chiral pure gravitational anomaly does not receive noncommutative corrections. Pure gravitational chiral anomaly in 4k+2 dimensions with matter fields being chiral fermions of spin-1/2 and spin-3/2, is discussed and a noncommutative correction is found in both cases. Mixed anomalies are finally considered in both cases., Comment: 29+1 pages, harvmac file, no figures
- Published
- 2004
7. Noncommutative Reissner-Nordstrom black hole
- Author
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Soto-Campos, Carlos A. and Valdez-Alvarado, Susana
- Subjects
Black holes (Astronomy) -- Models ,Spacetime -- Models ,Mathematical models -- Usage ,Department stores ,Physics - Abstract
In this work we construct a deformed embedding of the Reissner-Nordstrem (R-N) space-time within the framework of a noncommutative Riemannian geometry. We provide noncommutative corrections to the usual Riemannian expressions for the metric and curvature tensors. For the case of the metric tensor, the expression obtained possesses terms that are valid to all orders in the deformation parameter. Then we calculate the correction to the area of the event horizon of the corresponding noncommutative R-N black hole, obtaining an expression for the area of the black hole, which is correct up to fourth- order terms in the deformation parameter. Finally we include some comments on the noncommutative version on one of the second-order scalar invariants of the Riemann tensor, the so-called Kretschmann invariant, a quantity that is regularly used to extend gravity to the quantum level.Key words: black hole, noncommutativity, Moyal bracket, deformation, quantization.Nous construisons ici un plongement d'un espace-temps de Reissner-Nordstrem (R-N) dans le cadre d'une geometrie de Riemann non commutative. Nous donnons les corrections non commutatives aux expressions usuelles de Riemann pour la metrique et le tenseur de courbure. Pour le cas du tenseur metrique, l'expression obtenue possede des termes qui sont valides a tous les ordres du parametre de deformation. Nous calculons alors la correction de la surface de l'horizon (des evenements) du trou noir R-N non commutatif correspondant, obtenant une expression pour la surface du trou noir qui est correcte au quatrieme ordre du parametre de deformation. Finalement, nous ajoutons quelques commentaires sur l'un des invariants scalaires du second ordre du tenseur de Riemann, celui appele l'invariant de Kretschmann, une quantite regulierement utilisee afin d'etendre la gravite a un niveau quantique. [Traduit par la Redaction]Mots-cles: trou noir, non commutativite, bra-ket de Moyal, deformation, quantification., 1. IntroductionOne of the most important presumptions in general relativity is that the space, time, and gravity can be modeled as a sole entity called space-time. General relativity analyzes space-time [...]
- Published
- 2018
- Full Text
- View/download PDF
8. Ley de potencia en caídas de precios mayores a un nivel crítico en series de tiempo financieras
- Author
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Sánchez, Leopoldo, Soto-Campos, Carlos Arturo, Morales Matamoros, Oswaldo, García-Pérez, Alba Lucero, Sánchez, Leopoldo, Soto-Campos, Carlos Arturo, Morales Matamoros, Oswaldo, and García-Pérez, Alba Lucero
- Abstract
The study of financial time series was addressed looking for evidence of self- organization. A methodology was developed to identify as units of study each one of price declines from a recent maximum level and back to the original level. An interval in the space of states in which price falls could be explained as a process that follows a power law was seek. A critical level in the size of falls was identified separating the set of falls operating under a random regime (falls smaller than the critical level), from the set which follows a power law (falls larger than the critical level). This critical level is presumed to be a phase transition point towards a self-organized system. Both the methodology and the approach are original and add a new way to bring out that fluctuations in financial prices obey the power law, a relevant element to build a new systemic theory of price generation in financial markets, more proper to explain deep falls than the Efficient Market Hypothesis., Se aborda el estudio de series de tiempo financieras en busca de evidencia de auto-organización. Se desarrolló una metodología para identificar como unidades de estudio cada uno de los descensos de precios, desde un nivel máximo dado, hasta su recuperación al nivel original. Se exploró un rango dentro del espacio de estados en el cual las caídas pudieran ser explicadas como un proceso que sigue la ley de potencia. Se identificó un nivel crítico en la profundidad de las caídas, que separa el conjunto que opera bajo régimen aleatorio (caídas menores al nivel crítico), del conjunto que obedece la ley de potencia (caídas mayores al nivel crítico). Este nivel crítico es considerado un punto de transición de fase hacia un sistema auto-organizado. Tanto la metodología como el abordaje son originales y agregan una nueva manera de poner en evidencia que las fluctuaciones de precios financieros obedecen la ley de potencia, elemento relevante para construir una nueva teoría sistémica sobre la generación de precios en mercados financieros, más apropiada que la hipótesis de eficiencia de los mercados, para explicar caídas profundas.
- Published
- 2017
9. Evidence of Self-Organization in Time Series of Capital Markets
- Author
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S��nchez-Cant��, Leopoldo, Soto-Campos, Carlos Arturo, and Kryvko, Andriy
- Subjects
FOS: Economics and business ,Statistical Finance (q-fin.ST) ,Quantitative Finance - Statistical Finance - Abstract
A methodology is developed to identify, as units of study, each decrease in the value of a stock from a given maximum price level. A critical level in the amount of price declines is found to separate a segment operating under a random walk from a segment operating under a power law. This level is interpreted as a point of phase transition into a self-organized system. Evidence of self-organization was found in all the stock market indices studied but in none of the control synthetic random series. Findings partially explain the fractal structure characteristic of financial time series and suggest that price fluctuations adopt two different operating regimes. We propose to identify downward movements larger than the critical level apparently subject to the power law, as self-organized states, and price decreases smaller than the critical level, as a random walk with the Markov property.
- Published
- 2016
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