Do you have a swap file?
No (at least, I haven't set one).
Looking at the log, there's really no rhyme or reason as to the processes that are getting killed. That, coupled with the fact that it seems you are the only one reporting this type of problem, is leading me to think you may actually have a hardware problem. First thing would be to try and replace the power supply, as when those start getting weak it can lead to all sorts of strange problems.
Thanks for taking a look. As I said I'll upgrade to 36E4, but what's the best way to make sure these problems aren't related to a dodgy flash? Factory reset before/after flashing...?
The power supply is something I'll look at afterwards if it continues.