1,062 research outputs found
On Thouvenot's ergodic proof of Roth's theorem
We present a lecture note on Thouvenot's proof of the Roth-Furstenberg
theorem and joining proofs of Furstenberg's theorems on multiple progression
average mixing for weakly mixing transformations.Comment: lecture note
Simple Spectrum for Tensor Products of Mixing Map Powers
We prove the existence of a mixing rank one map such that the product
has simple spectrum. This result is used in
S.V. Thikhonov's proof of the existence of mixing transformation with
homogeneous spectrum of multiplicity .Comment: 7 page
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