I have been struggling for a long time to understand the ergodic theoretical proof of szemeredi's theorem. What is the highly recommended reference for furstenberg's proof of szemeredi's theorem ?
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$\begingroup$ I would have a look at the "Szemeredi" tag on Terry Tao's blog. His discussion is spread across a number of different posts but is usually pretty readable. $\endgroup$– pseudocydoniaCommented Jan 1, 2020 at 10:11
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$\begingroup$ look up yufei zhao's exposition of it. it's very nice $\endgroup$– mathworker21Commented Jan 2, 2020 at 3:53
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$\begingroup$ @mathworker21 what is the exposition title ? $\endgroup$– Neil hawkingCommented Jan 2, 2020 at 13:47
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$\begingroup$ @Neilhawking yufeizhao.com/research/szemeredi-expo.pdf $\endgroup$– mathworker21Commented Jan 3, 2020 at 9:51
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$\begingroup$ @mathworker21 thanks $\endgroup$– Neil hawkingCommented Jan 3, 2020 at 23:02
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First half of「Ergodic Theory with a view towards Number theory」, written by Manfred Einsiedler and Thomas Ward, is aimed at introducing ergodic theory to a beginner up to the point of Furstenberg's proof.
