An essay applying theory of information to explaining how and why Light fucked up:
https://www.gwern.net/Death-Note-Anonymity
Other articles are pretty cool too (not super cool mind you).
...
Also, this site:
http://bebopattic.weebly.com/
which features relatively short writings on various aspects and episodes of the series. There are probably others that did it better, dug deeper, and were more erudite with their analyses, but it's a nice starting place.