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GH from MO
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A very throughthorough (altoughalthough a bit dense) modern treatment is given in the article of Einsiedler,Lindenstrauss Lindenstrauss,Michel Michel and Venkatesh about the ergodic theoretical proof of Duke's theorem (which is not unrelated to Gregely'sGergely's notes) - http://www.ma.huji.ac.il/~elon/Publications/Erg-Duke.pdf.

A very through (altough a bit dense) modern treatment is given in the article of Einsiedler,Lindenstrauss,Michel and Venkatesh about the ergodic theoretical proof of Duke's theorem (which is not unrelated to Gregely's notes) - http://www.ma.huji.ac.il/~elon/Publications/Erg-Duke.pdf.

A very thorough (although a bit dense) modern treatment is given in the article of Einsiedler, Lindenstrauss, Michel and Venkatesh about the ergodic theoretical proof of Duke's theorem (which is not unrelated to Gergely's notes) - http://www.ma.huji.ac.il/~elon/Publications/Erg-Duke.pdf.

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Asaf
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A very through (altough a bit dense) modern treatment is given in the article of Einsiedler,Lindenstrauss,Michel and Venkatesh about the ergodic theoretical proof of Duke's theorem (which is not unrelated to Gregely's notes) - http://www.ma.huji.ac.il/~elon/Publications/Erg-Duke.pdf.