Fernando Argentieri

Publications:

Argentieri F., Chierchia L.

Erratum to: Isolated Diophantine Numbers
2024, vol. 29, no. 4, pp. 716-716

Abstract

Citation: Argentieri F., Chierchia L., Erratum to: Isolated Diophantine Numbers, Regular and Chaotic Dynamics, 2024, vol. 29, no. 4, pp. 716-716

DOI:10.1134/S1560354724550033

Argentieri F., Chierchia L.

Isolated Diophantine Numbers
2024, vol. 29, no. 4, pp. 536-540

Abstract

In this note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with the same Diophantine constants), showing that Diophantine sets are not always Cantor sets.
General properties of isolated Diophantine numbers are also briefly discussed.

Keywords: Diophantine sets, Diophantine conditions, Cantor sets, KAM theory, small divisor problems

Citation: Argentieri F., Chierchia L., Isolated Diophantine Numbers, Regular and Chaotic Dynamics, 2024, vol. 29, no. 4, pp. 536-540

DOI:10.1134/S156035472455001X

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