As far as my experience goes, the only useful thing I can say about this is that your mileage may vary. Some people can't get a brew to ferment once they 've reached 1.090 OG, other swear by multiple packets of yeast and heavy aeration with oxygen, plus extra yeast pampering in the form of nutrients and so on, while others (myself included) have not experience any problems whatsoever when fermenting brews of 1.090 and beyond (my personal highest is a 1.120 OG impy stout which was really the easisest brew I ever did - still awaiting carbonation to see how that turned out but the intermediary stages were all pretty damn yummy).
As for what makes it a "big" beer...depends on your take, I suppose. "Big" to me implies impressive in some way or other, be that body, gravity, ABV, hoppines,...
Beers are considered "heavy" somewhere from 1.075 onward, and "strong" somewhere around 8% ABV, I'd say, but I assume there's no real yardstick being used there.