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Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold

  • A. LEIBMAN (a1)

Abstract

We show that the orbit of a point on a compact nilmanifold X under the action of a polynomial sequence of translations on X is well distributed on the union of several sub-nilmanifolds of X. This implies that the ergodic averages of a continuous function on X along a polynomial sequence of translations on X converge pointwise.

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Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold

  • A. LEIBMAN (a1)

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