Mathematics – Probability
Scientific paper
Jan 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aas...21334004l&link_type=abstract
American Astronomical Society, AAS Meeting #213, #340.04; Bulletin of the American Astronomical Society, Vol. 41, p.403
Mathematics
Probability
Scientific paper
Analytical methods describing the nonlinear evolution of the probability distribution function (PDF) of the smoothed dark matter density field will be discussed. I provide a simple approximation to the exact ellipsoidal collapse model which shows how the evolution can be thought of as a modification of the spherical evolution model as well as of the Zeldovich Approximation. I will discuss the results of applying the analytical PDF calculation to the local non-Gaussian model and the possibility to constrain non-Gaussianity by measuring the nonlinear dark matter PDF.
Nonlinear gravitational effect smears the baryon acoustic oscillation (BAO) signal. I will present a method to reconstruct the initial density field from the nonlinear field and apply it to recover the BAO signal.
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