Optimal Control, Everywhere Dense Torus Winding, and Wolstenholme Primes
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An optimal control problem is constructed so that its control runs over an everywhere dense winding of a k-dimensional torus for arbitrary natural k ≤ 249 998 919 given in advance. The construction is based on Galois theory and the Wolstenholme primes distribution.
- 3.D. D. Kiselev, “Applications of Galois Theory to Optimal Control,” in: Proc. 48th Int. Youth School-Conference “Modern Problems in Mathematics and its Applications,” Yekaterinburg, Russia, February 5–11, 2017, ed. by A. Makhnev and S. Pravdin (Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, 2017), pp. 50–56Google Scholar