Mathematics – Logic
Scientific paper
Dec 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aas...19512503g&link_type=abstract
American Astronomical Society, 195th AAS Meeting, #125.03; Bulletin of the American Astronomical Society, Vol. 31, p.1554
Mathematics
Logic
Scientific paper
One of the great challenges in cosmology is interpreting the observations of large scale structure. On the largest scales, this frequently means estimating the power spectrum at present and from that, using linear theory to determine the power spectrum at high redshift, and consequently, the corresponding cosmological parameters. The problem of determining initial conditions becomes much more complex for fields which are highly non-linear. Due to mode-mode coupling in the evolution equations, the problem of finding the time-reversal operator becomes fundamentally ill-posed; that is, many different sets of initial conditions can give rise to the same final density field. In this talk, I will discuss a new technique for time-reversing dynamics observations. Perturbative Least Action (PLA) is a variant of Least Action variational method which develops particle trajectories as perturbations from known, randomly realized paths, and can be used to generate many different sets of initial conditions, each of which will satisfy given highly nonlinear constraints at z=0. This research was supported through a NSF graduate research fellowship.
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