Ergodicity of typical billiards

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I'm trying to find the papers where a rather dramatic result on billiard systems was proved: for 'typical' perturbations away from an integrable billiard, the system becomes ergodic.

Even a paper mentioning such a result would be good start - all I have to go on at the moment are names given to me by the person who I heard the result from: Gutkin, Troubetzkoy and Markarian.

I've tried searching through their papers; but being a physicist, I get lost in the mathematical jargon.

No idea if this is a likely place to get help, but thanks if anyone can assist.
 
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Try Sergei Tabachnikov's 1995 book "Billiards": you can find a preprint here http://www.math.psu.edu/tabachni/Books/books.html
 
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