Adam has got the main points; genome is an illustration,
Kolmogorov complexity is a quantitative descriptor...

The work on Babylon was summarized in monograph;
Gasche H., Armstrong J.A., Cole S.W., Gurzadyan V.G.
Dating the Fall of Babylon by Astronomical data, Mesopotamian History and Environment, Series II, Memoirs IV, Chicago, 1998.
A special conference (Ghent 2000) was devoted to that revision of Babylonian chronology, where at concluding session, a panel of experts adviced to use the new chronology in future studies. Presently, that chronology is supported by various studies.

However, my main work is on cosmology. By the way, today's issue of New Scientist has a cover story (The Origin of Time) based on our recent work:

http://www.newscientist.com/contents/issue/2521.html

based on our these and other original papers:
http://www.arxiv.org/abs/astro-ph/0503103
http://www.arxiv.org/abs/astro-ph/0210022