This paper ranked among the 10 most downloaded papers of (Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, RACSAM) in 2021.

We provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.

J.A. Conejero, F. Martínez-Giménez, A. Peris,  F. Ródenas. Sets of periods for chaotic linear operators. RACSAM 115, 63 (2021). doi:10.1007/s13398-020-00996-z