"A definition? That a substantial amount of speciation occurred during (geologically) relatively short periods of time, between which were long periods of relative stasis without actual speciation, although gradual changes were always occurring."

That's it? But we've known about adaptive radiation for a very long time. What's the new idea here, beyond this obvious observation?

I didn't quote those three to say they were important new ideas, I quoted them to give an idea what sort of explanation I'd accept. Reasonably short, showing what it was about, leaving out caveats and exceptions etc.

You haven't begun to show what Punctuated Equilibrium was about. I don't think it can be explained simply because there isn't a central new idea there.