Howdy Flea,
I live above 8,000' and deep in the Rockies. We have them here and every few years we'll have a human-lion interaction - sometimes with tragic results.
The reality is that they are extremely rare, a single cat typically roams a 'turf' miles and miles across.
I typically carry a sidearm when on walkabout (unless hunting) in case the occasional bear doesn't scapper off like they usually do and in the unlikely event I see a cat.
The general rule of thumb we use locally is, if you see the cat it's because he wants you to or doesn't care...and neither option is good for you. The recommendations from the DOW experts are roughly the same as for bear, make noise, look bigger, don't run. With cats however, chances are if you see them they've been tracking you for lunch so they may not discourage easily. I wouldn't hesitate to shoot one if it was circling and wouldn't scare off.
AJ