Do Chilis Ripen "off the vine"? In light of the question Are chillies hotter when they&#39;re ripe?, in particular – @ElendilTheTall's answer. I am wondering if chilies continue to ripen after picking?  If so, does capsaician continue to build up. 

What is the 'peek of freshness/ripeness' for chilies? (assuming it is different for each type of pepper, but are there 'commonalities' to look for?)
Yes, they will ripen off the vine (and gain capsaician in the process) because they are a climacteric fruit. They do this best in a paper bag, like most peppers. However, there is a limit to this because they will eventually wilt.