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Relevant bibliographies by topics / Cosmology Mathematical models

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Academic literature on the topic 'Cosmology Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 January 2023

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Journal articles on the topic "Cosmology Mathematical models"

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Christianto, Victor, and Yunita Umniyati. "Remark on ‘The future of mathematical Cosmology” and “100 years of mathematical cosmology: Models, theories and problems, Part B” by S. Cotsakis and A.P. Yefremov." Journal of Cosmology, Filaments and Astrobiology 2, no. 1 (2022): 38–41. http://dx.doi.org/10.54216/jcfa.020105.

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In this review article, allow us to offer a few remark on “the future of mathematical cosmology” “100 years of mathematical cosmology: Models, theories and problems, Part B” by Cotsakis and Yefremov, which seems to us very interesting piece of review on progress on the last 3 or 4 decades in theoretical cosmology development. In particular, we would emphasize on testability of cosmology models, which seem to us this criterion can only be achieved via correspondence between condensed mattersuperfluiditylow temperature physics and cosmology (cf. for instance, Kibble Pickett, 2008).

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Tzvi Langermann, Y. "Arabic Cosmology." Early Science and Medicine 2, no. 2 (1997): 185–213. http://dx.doi.org/10.1163/157338297x00113.

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AbstractRepresentations of the heavens in various levels of detail can be found in a number of branches of Arabic literature. One particular genre, the hay'a texts, has as its purpose a full though non-mathematical discussion of the arrangement of the celestial orbs; hay'a writers are particularly sensitive to the philosophical requirements which all systems must meet. The pivotal work in this genre, On the Configuration, was written by Ibn al-Haytham. Later writers continued to produce works in the spirit of On the Configuration. In the east, al-Tusi and his followers developed new models; in the west, a group of thinkers tried to rediscover the models which, so they thought, were the ones endorsed by Aristotle himself.

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Elizaga Navascués, Beatriz, Mercedes Martín-Benito, and Guillermo A. Mena Marugán. "Hybrid models in loop quantum cosmology." International Journal of Modern Physics D 25, no. 08 (July 2016): 1642007. http://dx.doi.org/10.1142/s0218271816420074.

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In the framework of Loop Quantum Cosmology (LQC), inhomogeneous models are usually quantized by means of a hybrid approach that combines loop quantization techniques with standard quantum field theory methods. This approach is based on a splitting of the phase space in a homogeneous sector, formed by global, zero-modes and an inhomogeneous sector, formed by the remaining, infinite number of modes, that describe the local degrees of freedom. Then, the hybrid quantization is attained by adopting a loop representation for the homogeneous gravitational sector, while a Fock representation is used for the inhomogeneities. The zero-mode of the Hamiltonian constraint operator couples the homogeneous and inhomogeneous sectors. The hybrid approach, therefore, is expected to provide a suitable quantum theory in regimes where the main quantum effects of the geometry are those affecting the zero-modes, while the inhomogeneities, still being quantum, can be treated in a more conventional way. This hybrid strategy was first proposed for the simplest cosmological midisuperspaces: the Gowdy models, and it has been later applied to the case of cosmological perturbations. This paper reviews the construction and main applications of hybrid LQC.

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DEL CAMPO, SERGIO, RAMÓN HERRERA, and JOEL SAAVEDRA. "CLOSED INFLATIONARY UNIVERSE MODELS IN BRANE WORLD COSMOLOGY." International Journal of Modern Physics D 14, no. 05 (May 2005): 861–72. http://dx.doi.org/10.1142/s0218271805007036.

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In this article we study closed inflationary universe models proposed by Linde in a brane world cosmological context. In this scenario we determine and characterize the existence of a closed universe, in presence of one self-interacting scalar field with an inflationary stage. We have found that our model, which takes into account a Brane World Cosmology, is less restrictive than the one that uses standard Einstein's General Relativity cosmology.

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COLEY, A. A. "BRANE-WORLD COSMOLOGY." International Journal of Modern Physics D 11, no. 10 (December 2002): 1609–14. http://dx.doi.org/10.1142/s0218271802002979.

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It is argued that typically the initial singularity is isotropic in brane world cosmological models. Consequently brane cosmology naturally gives rise to a set of initial data that provide the conditions for inflation to subsequently take place, leading to a self-consistent and viable cosmological scenario.

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SAHNI, VARUN, and YURI SHTANOV. "NEW VISTAS IN BRANEWORLD COSMOLOGY." International Journal of Modern Physics D 11, no. 10 (December 2002): 1515–21. http://dx.doi.org/10.1142/s0218271802002827.

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Traditionally, higher-dimensional cosmological models have sought to provide a description of the fundamental forces in terms of a unifying geometrical construction. In this essay we discuss how, in their present incarnation, higher-dimensional "braneworld" models might provide answers to a number of cosmological puzzles including the issue of dark energy and the nature of the big bang singularity.

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MACÍAS, ALFREDO, ECKEHARD W. MIELKE, and JOSÉ SOCORRO. "SUPERSYMMETRIC QUANTUM COSMOLOGY FOR BIANCHI CLASS A MODELS." International Journal of Modern Physics D 07, no. 05 (October 1998): 701–12. http://dx.doi.org/10.1142/s0218271898000462.

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The canonical theory of [Formula: see text] supergravity, with a matrix representation for the gravitino covector–spinor, is applied to the Bianchi class A spatially homogeneous cosmologies. The full Lorentz constraint and its implications for the wave function of the universe are analyzed in detail. We found that in this model no physical states other than the trivial "rest frame" type occur.

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Stornaiolo, Cosimo. "Tomographic analysis of quantum and classical de Sitter cosmological models." International Journal of Modern Physics D 28, no. 16 (October 15, 2019): 2040009. http://dx.doi.org/10.1142/s021827182040009x.

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In this work, we show the importance of introducing the quantum tomography formalism to analyze the properties of wave functions in quantum cosmology. In particular, we examine the initial conditions of the universe proposed by various authors in the context of de Sitter’s cosmology studying their classical limit and comparing it with the classical tomogram obtained from the Hamiltonian constraint in General Relativity. This comparison gives us the opportunity to find under which conditions there is a transition from the quantum universe to the classical one. A relevant result is that in these models the decay of the cosmological constant is a sufficient condition for this transition.

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Jawad, Abdul, Shamaila Rani, Ines G. Salako, and Faiza Gulshan. "Pilgrim dark energy models in fractal universe." International Journal of Modern Physics D 26, no. 06 (November 22, 2016): 1750049. http://dx.doi.org/10.1142/s0218271817500493.

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We discuss the cosmological implications of interacting pilgrim dark energy (PDE) models (with Hubble, Granda–Oliveros and generalized ghost cutoffs) with cold dark matter ([Formula: see text]CDM) in fractal cosmology by assuming the flat universe. We observe that the Hubble parameter lies within observational suggested ranges while deceleration parameter represents the accelerated expansion behavior of the universe. The equation of state (EoS) parameter ([Formula: see text]) corresponds to the quintessence region and phantom region for different cases of [Formula: see text]. Further, we can see that [Formula: see text]–[Formula: see text] (where prime indicates the derivative with respect to natural logarithmic of scale factor) plane describes the freezing and thawing regions and also corresponds to [Formula: see text] limit for some cases of [Formula: see text] (PDE parameter). It is also noted that the [Formula: see text]–[Formula: see text] (state-finder parameters) plane corresponds to [Formula: see text] limit and also shows the Chaplygin as well as phantom/quintessence behavior. It is observed that pilgrim dark energy models in fractal cosmology expressed the consistent behavior with recent observational schemes.

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COTSAKIS, SPIROS. "STRUCTURE OF INFINITY IN COSMOLOGY." International Journal of Modern Physics D 22, no. 03 (March 2013): 1330003. http://dx.doi.org/10.1142/s0218271813300036.

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We discuss recent developments related to certain blow-up methods suitable for the analysis of cosmological singularities and asymptotics. We review results obtained in a variety of currently popular themes and describe ongoing research about universes with various kinds of extreme states, higher-order gravity and certain models of braneworlds.

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Dissertations / Theses on the topic "Cosmology Mathematical models"

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Hervik, Sigbjørn. "Mathematical cosmology : Bianchi models, asymptotics and extra dimensions." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616093.

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Campbell, Robert Alan. "Inhomogeneous conformal cosmological models /." Title page, contents and summary only, 1985. http://web4.library.adelaide.edu.au/theses/09PH/09phc1888.pdf.

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Dechant, Pierre-Philippe. "Models of the early universe." Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609618.

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Ng, Shao-Chin Cindy. "Cosmological models with quintessence : dynamical properties and observational constraints." Title page, table of contents and abstract only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phn5758.pdf.

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Bibliography: leaves 100-106. Studies different models of "quintessence", in particular, a quintessence arising from an ultra-light pseudo Nambu-Goldstone boson. Overviews dynamical properties for these models using phase-space analyses to study attractor and tracker solutions. Studies high-redshift type Ia supernovae constraints on these models. Studies the impact of a simple phenomenological model for supernovae luminosity evolution on the PNGB models and the potentials of a future supernovae data set to discriminate the PNGB models over the other quintessence models. Studies gravitational lensing statistics of high luminosity quasars upon the quintessence models.

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Luo, Xianghui 1983. "Symmetries of Cauchy Horizons and Global Stability of Cosmological Models." Thesis, University of Oregon, 2011. http://hdl.handle.net/1794/11543.

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ix, 111 p.<br>This dissertation contains the results obtained from a study of two subjects in mathematical general relativity. The first part of this dissertation is about the existence of Killing symmetries in spacetimes containing a compact Cauchy horizon. We prove the existence of a nontrivial Killing symmetry in a large class of analytic cosmological spacetimes with a compact Cauchy horizon for any spacetime dimension. In doing so, we also remove the restrictive analyticity condition and obtain a generalization to the smooth case. The second part of the dissertation presents our results on the global stability problem for a class of cosmological models. We investigate the power law inflating cosmological models in the presence of electromagnetic fields. A stability result for such cosmological spacetimes is proved. This dissertation includes unpublished co-authored material.<br>Committee in charge: James Brau, Chair; James Isenberg, Advisor; Paul Csonka, Member; John Toner, Member; Peng Lu, Outside Member

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Foster, Scott. "Singularity structure of scalar field cosmologies /." Title page, contents and abstract only, 1996. http://web4.library.adelaide.edu.au/theses/09PH/09phf757.pdf.

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Howell, Eric John. "The characterization and temporal distribution of cosmological gravitational wave treatments." University of Western Australia. School of Physics, 2009. http://theses.library.uwa.edu.au/adt-WU2010.0095.

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[Truncated abstract] As gravitational wave detectors approach sensitivities that will allow observations to become routine, astrophysics lies on the cusp of an exciting new era. Potential sources will include transients such as merging neutron stars and black holes, supernova explosions or the engines that power gamma-ray bursts. This thesis will be devoted to the astrophysical gravitational wave background signal produced by cosmological populations of such transient signals. Particular attention will be devoted to the observation-time dependence imposed on the individual sources that accumulate to produce a gravitational wave background signal. The ultimate aim is to determine what information is encoded in the temporal evolution of such a signal. To lay the foundations for further investigation, the stochastic gravitational wave background signal from neutron star birth throughout the Universe has been calculated. In view of the uncertainties in both the single-source emissions and source rate histories, several models of each are employed. The results show that that the resulting signals are only weakly dependent on the source-rate evolution model and that prominent features in the single-source spectra can be related to the background spectra. In comparison with previous studies, the use of relativistic single-source gravitational wave waveforms rather than Newtonian models and a more slowly evolving source-rate density results in a 1 { 2 order of magnitude reduction in signal. ... A comparison with the more commonly used brightness distribution of events shows that when applying both methods to a data stream containing a background of Gaussian distributed false alarms, the brightness distribution yielded lower standard errors, but was biased by the false alarms. In comparison, a fitting procedure based on the time evolution of events was less prone to errors resulting from false alarms, but as fewer events contributed to the data, had a lower resolution. In further support of the time dependent signature of transient events, an alternative technique is fiapplied to the same source population. In this case, the local rate density is probed by measuring the statistical compatibility of the filtered data against synthetic time dependent data. Although this method is not as compact as the fitting procedure, the rate estimates are compatible. To further investigate how the observation time dependence of transient populations can be used to constrain global parameters, the method is applied to Swift long gamma-ray burst data. By considering a distribution in peak °ux rather than a gravitational wave amplitude, gamma-ray bursts can be considered as a surrogate for resolved gravitational wave transients. For this application a peak °ux{observation time relation is described that takes the form of a power law that is invariant to the luminosity distribution of the sources. Additionally, the method is enhanced by invoking time reversal invariance and the temporal cosmological principle. Results are presented to show that the peak °ux{observation time relation is in good agreement with recent estimates of source parameters. Additionally, to show that the intrinsic time dependence allows the method to be used as a predictive tool, projections are made to determine the upper limits in peak °ux of future gamma-ray burst detections for Swift.

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Osano, Bob Otieno. "Beyond the standard model of cosmology : a perturbative approach." Doctoral thesis, University of Cape Town, 2007. http://hdl.handle.net/11427/4918.

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Includes abstract.<br>Includes bibliographical references (p. 171-185).<br>This thesis concerns higher order perturbations of the standard model of cosmology. The theme is addressed in two distinct research areas. The first area deals with linear perturbations of Bianchi type I model filled with dust whose flow is irrotational, and which is an analogue to second order perturbations about the standard model. We investigate both density perturbations and gravitational waves in the shear dominated and the matter dominated regimes. We find that whereas the analysis of the perturbations in the matter dominated regime recovers the standard FLRW results, the analysis of perturbations in the shear dominated regime reveals that density perturbations and gravitational waves decouple only when the background shear is locally rotational symmetric.

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Delbem, Nilton Flávio [UNESP]. "Introdução matemática aos modelos cosmológicos." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/94340.

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Made available in DSpace on 2014-06-11T19:27:09Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-10-15Bitstream added on 2014-06-13T20:47:45Z : No. of bitstreams: 1 delbem_nf_me_rcla.pdf: 885461 bytes, checksum: 9ba35dff1d53b0378c1e134087c575b7 (MD5)<br>Universidade Estadual Paulista (UNESP)<br>Esta dissertação tem a proposta de organizar, discutir e apresentar de maneira precisa os conceitos matemáticos de variedade diferenciável e de tensores envolvidos no estudo da Cosmologia sob o ponto de vista da Teoria da Relatividade Geral para o modelo de Friedmann-Lemaître-Robertson-Walker. Busca-se assim apresentar um texto didático que possa ser utilizado tanto nos cursos de graduação em Matemática como de Física para uma disciplina optativa de Introdução Matemática à Cosmologia<br>The goal of this dissertation is to organize and discuss in a rigorous way the mathematical concepts of manifolds and tensors needed to the study of Cosmology and the Friedmann-Lemaître-Robertson-Walker model under the point of view of the General Relativity. In this way, this dissertation was written as textbook that could be used in an undergraduate course of Physics and Mathematics

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Delbem, Nilton Flávio. "Introdução matemática aos modelos cosmológicos /." Rio Claro : [s.n.], 2010. http://hdl.handle.net/11449/94340.

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Orientador: Wladimir Seixas<br>Banca: Manoel Borges Ferreira Neto<br>Banca: Henrique Lazari<br>Resumo: Esta dissertação tem a proposta de organizar, discutir e apresentar de maneira precisa os conceitos matemáticos de variedade diferenciável e de tensores envolvidos no estudo da Cosmologia sob o ponto de vista da Teoria da Relatividade Geral para o modelo de Friedmann-Lemaître-Robertson-Walker. Busca-se assim apresentar um texto didático que possa ser utilizado tanto nos cursos de graduação em Matemática como de Física para uma disciplina optativa de Introdução Matemática à Cosmologia<br>Abstract: The goal of this dissertation is to organize and discuss in a rigorous way the mathematical concepts of manifolds and tensors needed to the study of Cosmology and the Friedmann-Lemaître-Robertson-Walker model under the point of view of the General Relativity. In this way, this dissertation was written as textbook that could be used in an undergraduate course of Physics and Mathematics<br>Mestre

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Books on the topic "Cosmology Mathematical models"

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Arcidiacono, Giuseppe. Projective relativity, cosmology, and gravitation. Nonantum, Mass., U.S.A: Hadronic Press, 1986.

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Chemical cosmology. Dordrecht: Springer, 2010.

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Krasiński, Andrzej. Inhomogeneous cosmological models. Cambridge, UK: Cambridge University Press, 1996.

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Krasiński, Andrzej. Inhomogeneous cosmological models. Cambridge: Cambridge University Press, 2006.

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1963-, Cotsakis Spiros, and Papantonopoulos E, eds. Cosmological crossroads: An advanced course in mathematical, physical, and string cosmology. Berlin: Springer, 2002.

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Scheen, Christian. Contribution à l'étude de la dynamique de modèles cosmologiques anistropes au voisinage de la singularité initiale. [Bruxelles]: Académie royale de Belgique, 2001.

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Tifft, W. G., and W. J. Cocke, eds. Modern Mathematical Models of Time and their Applications to Physics and Cosmology. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8.

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Cosmology in (2+1)- dimensions, cyclic models, and deformations of M2,1. Princeton, N.J: Princeton University Press, 1989.

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A, Molina, and Senovilla J. M. M, eds. Proceedings of the Spanish Relativity Meeting on Inhomogeneous Cosmological Models. Singapore: World Scientific, 1995.

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Pekka, Teerikorpi, and SpringerLink (Online service), eds. Fundamental Questions of Practical Cosmology: Exploring the Realm of Galaxies. Dordrecht: Springer Science+Business Media B.V., 2012.

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Book chapters on the topic "Cosmology Mathematical models"

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Kokus, Martin. "Spherical Rotation, Particles and Cosmology." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 353–56. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_30.

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Tifft, W. G. "Three-Dimensional Quantized Time in Cosmology." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 187–210. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_16.

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Keresztes, Z., M. Forsberg, M. Bradley, P. K. S. Dunsby, and L. Á. Gergely. "Perturbations of Kantowski–Sachs Models with a Cosmological Constant." In Progress in Mathematical Relativity, Gravitation and Cosmology, 289–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40157-2_40.

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Rozas-Fernández, Alberto, Marco Bruni, and Ruth Lazkoz. "Phenomenology of Unified Dark Matter Models with Fast Transition." In Progress in Mathematical Relativity, Gravitation and Cosmology, 387–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40157-2_58.

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Radicella, Ninfa, Vincenzo F. Cardone, and Stefano Camera. "Accelerating f(T) Gravity Models Constrained by Recent Cosmological Data." In Progress in Mathematical Relativity, Gravitation and Cosmology, 367–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40157-2_54.

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Arp, Halton. "The Pair of X-ray Sources across NGC 4258: Its Relation to Intrinsic Redshifts, Ejection and Quantization." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 9–22. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_1.

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Napier, W. M., and B. N. G. Guthrie. "Testing for Quantized Redshifts. II. The Local Supercluster." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 111–26. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_10.

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Newman, W. I., and Y. Terzian. "Power Spectrum Analysis and Redshift Data." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 127–41. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_11.

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Cocke, W. J., C. L. Devito, and A. Pitucco. "Statistical Analysis of the Occurrence of Periodicities in Galaxy Redshift Data." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 143–57. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_12.

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Sturrock, P. A. "Zooming in on the Redshift Problem." In Modern Mathematical Models of Time and their Applications to Physics and Cosmology, 159–66. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5628-8_13.

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Conference papers on the topic "Cosmology Mathematical models"

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Ignat'ev, Yu G., A. A. Agathonov, M. L. Mikhailov, and D. Yu Ignatyev. "Mathematical models of cosmological evolution of statistical system of scalar charged particles." In Twelfth Asia-Pacific International Conference on Gravitation, Astrophysics, and Cosmology. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814759816_0009.

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Pérez-Lorenzana, Abdel. "Cosmological Radion Problem in Models with Extra Dimensions." In GRAVITATION AND COSMOLOGY: 2nd Mexican Meeting on Mathematical and Experimental Physics. AIP, 2005. http://dx.doi.org/10.1063/1.1900519.

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Sussman, Roberto A. "Scalar averaging in Szekeres dust models." In IX MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS: COSMOLOGY FOR THE XXIST CENTURY: Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF). AIP, 2013. http://dx.doi.org/10.1063/1.4817058.

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Hernández-Aguayo, César, Arturo Avelino, and L. Arturo Ureña-López. "Cosmological constraints on the roll parameter of freezing and thawing quintessence models." In IX MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS: COSMOLOGY FOR THE XXIST CENTURY: Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF). AIP, 2013. http://dx.doi.org/10.1063/1.4817054.

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Gómez, L. Gabriel, and Yeinzon Rodríguez. "Statistical anisotropy in inflationary models with many vector fields and/or prolonged anisotropic expansion." In IX MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS: COSMOLOGY FOR THE XXIST CENTURY: Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF). AIP, 2013. http://dx.doi.org/10.1063/1.4817056.

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Cortez, Jerónimo, William Cuervo, and Hugo A. Morales-Técotl. "On the geometric resolution of the Schwarzschild black hole singularity within effective loop quantum gravity models." In IX MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS: COSMOLOGY FOR THE XXIST CENTURY: Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF). AIP, 2013. http://dx.doi.org/10.1063/1.4817038.

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Muñoz-Andrade, Juan Daniel. "A Mathematical Model for Plasticity and Cosmology." In MATERIALS PROCESSING AND DESIGN; Modeling, Simulation and Applications; NUMIFORM '07; Proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes. AIP, 2007. http://dx.doi.org/10.1063/1.2740995.

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Socorro, J., Juan M. Ramírez, Luis O. Pimentel, Gustavo López, and Rafael Hernández. "Searching solutions by Lagrange-Charpit method in cosmology: Bianchi type I toy model in self creation cosmology." In RECENT DEVELOPMENTS ON PHYSICS IN STRONG GRAVITATIONAL FIELDS: V Leopoldo García-Colín Mexican Meeting on Mathematical and Experimental Physics. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4861961.

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Khadekar, G. S., Vaishali Kamdi та Vitthal Miskin. "HIGHER DIMENSIONAL COSMOLOGI CAL MODEL OF THE UNIVERSE WITH VARIABLE EQUTION OF STATE PARAMETER IN THE PRESENCE OF G AND Λ". У ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525180.

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Espinoza-García, Abraham, Omar Núñes, and J. Socorro. "Quintom potentials from a quantum anisotropic model." In IX MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS: COSMOLOGY FOR THE XXIST CENTURY: Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF). AIP, 2013. http://dx.doi.org/10.1063/1.4817050.

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