Mathematics – Logic
Scientific paper
Jan 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aas...21541013e&link_type=abstract
American Astronomical Society, AAS Meeting #215, #410.13; Bulletin of the American Astronomical Society, Vol. 42, p.236
Mathematics
Logic
Scientific paper
Ultra Luminous Infrared Galaxies (ULIRGs) are among the most luminous astronomical objects known. They are also among the most fascinating ones, as our knowledge of their nature and evolution remains sketchy. Recently, there has been proposed a new evolutionary paradigm for these galaxies based on two novel approaches. One is quantifying similarities and differences between ULIRG spectra by computing the so-called Bayes factor. The other is displaying the resulting Bayes factors using network diagrams. These techniques have been applied to a sample of nearby (low redshift) ULIRGs. In my work, I extend the sample of ULIRGs to include high redshifts galaxies. By calculating the corresponding Bayes factors, one can compare the high-redshift ULRIGs to one another, as well as low redshift to high redshift ones. After the Bayes factors are known, the similarities and differences between galaxies are visualized using network diagrams. I use graph theory tools and compute various topological measures such as spherecity, aplanarity, and centrality, to compare rigorously the network diagrams made for low- and high- redshift ULIRGs. This enables me to determine not only whether the proposed evolutionary track for low redshift ULIRGs is mathematically robust, but also whether or not high redshift galaxies follow a similar path in their evolution.
Connolly Brian
Connolly Natalia
Eagan Will
Farrah Duncan
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