Hello, I have a 10-day old website (no PR and no link) which outcompete a PR6 site in SEAP. Something strange! The keywords for SEAP were just two common words (totally non-related to the domain name). I was surprised of google's recent algos change.

Don't get too excited it's a normal occurence for a brand new site to do that before it drops out of sight for a while (aging delay/sandbox) and it must have a link from somewhere to have got into the index.
And what's the domain name got to do with ranking? It's only (possibly) a minor part of the algo

I will monitor the SEAP in the next ten days to validate your suggesiton that it may fate out as aging/sandbox effect takes place. I think domain name is important. But, in this case, it seems that it is minor.

My site, which is only a few months old, showed high in the SERPs for Google for about two weeks and have since dried up into nearly nothing. I'm hoping the next update will give me a boost as I've recently gotten the site listed with DMOZ .

You have an initial boost for fresh content and soon will come to place where you should be when your content is not that fresh.