Browsing by Author "Vurgun, Demet."

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    An application of ergodic theory to Szemerédi's theorem
    (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2009., 2009.) Vurgun, Demet.; Demir, Selçuk.; Işık, Nilgün.
    In this thesis, Szemerédi's theorem has been translated into the ergodic problem. For this purpose, ergodic theory and its tools has been studied. The ergodic version of the theorem is equivalent to Furstenberg Multiple Reccurence Theorem. So the structure of the ergodic systems has been analyzed. Finally, ergodic theoretical proof of the theorem has been given.