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Recently, T. Tao gave a finitary proof a convergence theorem for multiple averages with several commuting transformations and soon later, T.~Austin gave an ergodic proof of the same result. Although we give here one more...
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A classic family in topological dynamics is that of minimal rotations. One natural extension of this family is the class of nilsystems and their inverse limits. These systems have arisen in recent applications in ergodic...