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On Thouvenot's ergodic proof of Roth's theorem
Thouvenot's ergodic proof Roth's theorem Dynamical Systems
2011/9/21
Abstract: 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 transform...
A symplectic proof of a theorem of Franks
symplectic proof theorem of Franks Symplectic Geometry Dynamical Systems
2011/8/26
Abstract: A celebrated theorem in two-dimensional dynamics due to John Franks asserts that every area preserving homeomorphism of the sphere has either two or infinitely many periodic points. In this ...