RAM chips (And other ICs for that matter) are "Durable" to being burned out by static yes, but getting "Browned" out is another story.
Static will make a transistor "Weak" where it won't hold a charge for long. So if a browned out transistor has to hold a charge (A "1" in binary) for long it will often shut that one transistor down.
Now, since there are millions of transistors in a given chip having just one shut down won't usually be enough to cause a program to crash, but it's enough to cause a program to lock up momentarily, or cause some graphic glitches or sound glitches...
Generally it will cause intermittant system lock ups and random program crashes if enough of them get "Browned out"
