Abstract

The article develops results on secular perturbations and irrational rotations. Sections 16–17 contain the irrational-rotation averaging result imported by the focal paper as uniform distribution modulo one.

Role in dependence graphs

Proof-critical source

On Nontrivial Winning and Losing Parameters of Schmidt Games

This paper is included only for the following marked statement:

  • Irrational-rotation uniform-distribution theorem · §§16–17, especially printed pp. 262–267For irrational theta, the orbit n theta modulo one has the interval-frequency/averaging property used as v3 Lemma 4.1.

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