Advanced Statistical Methods for Astrophysical Probes of by Marisa Cristina March

By Marisa Cristina March

This thesis explores complex Bayesian statistical equipment for extracting key info for cosmological version choice, parameter inference and forecasting from astrophysical observations. Bayesian version choice presents a degree of the way stable types in a suite are relative to one another - yet what if the easiest version is lacking and never incorporated within the set? Bayesian Doubt is an process which addresses this challenge and seeks to bring an absolute instead of a relative degree of ways solid a version is. Supernovae style Ia have been the 1st astrophysical observations to point the past due time acceleration of the Universe - this paintings offers a close Bayesian Hierarchical version to deduce the cosmological parameters (in specific darkish power) from observations of those supernovae variety Ia.

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Isocurvature initial conditions are those for which there were fluctuations in the entropy, but not in the total energy density, leading to near ‘isothermal’ initial conditions. 92) In principle, the differential equations for the photon perturbations Eq. 86), baryon perturbations Eq. 80), dark matter perturbations Eq. 83), and gravitational potential Eq. 6 CMB Angular Power Spectrum 29 6000 4000 TT ] 2 l(l+1)C l /2π μK ] 5000 3000 2000 1000 0 0 200 400 600 800 1000 1200 1400 1600 1800 2000 Fig.

Of 42 3 Dark Energy and Apparent Late Time Acceleration course models for which w > −1/3 are ruled out as they do not cause acceleration. This scalar field model has a lower bound on w > −1. Although the scalar field model places a lower bound on w > −1, values for w below this are not ruled out observationally. Models which allow w < −1 are known as Phantom dark energy models, and they require more unorthodox Lagrangians, see for example [12, 13]. Once we have relaxed the condition that w(z) = −1, there is no special reason to constrain w(z) to be a fixed number, but it is also not clear what form w(z) should take.

Nolta, M. , Spergel, D. , Bennett, C. , Weiland, J. , Hill, R. , Meyer, S. , Tucker, G. , and Wright, E. : 2009, ApJS 180, 306 Guth, A. : 1981, PhysRevD 23, 347 Linde, A. : 2005, arXiv:hep-th/050320 Bridle, S. , Lewis, A. : 2001, in R. Durrer, J. Garcia-Bellido, and M. ), Cosmology and Particle Physics, Vol. 555 of American Institute of Physics Conference Series, p. : 2000, ApJ 538, 473 Nolta, M. , Hill, R. , Spergel, D. , Bennett, C. , Weiland, J. , Meyer, S. , Tucker, G. , and Wright, E. : 2009, ApJS 180, 296 Reichardt, C.

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