Hernández Corbato, LuisNieves Rivera, David JesúsRomero Ruiz Del Portal, FranciscoSánchez Gabites, Jaime Jorge2026-02-262026-02-262020Hernández-Corbato, L., Nieves-Rivera, D. J., Del Portal, F. R. R., & Sánchez-Gabites, J. J. Dynamics and eigenvalues in dimension zero. Ergod. Th. & Dynam. Sys. 2020 Jan 4;40(9): 2434-2452.10.1017/etds.2018.139https://hdl.handle.net/20.500.14352/133322Let X be a compact, metric and totally disconnected space and let f : X → X be a continuous map. We relate the eigenvalues of f∗ : ˇH0(X; C) → ˇH0(X; C) to dynamical properties of f , roughly showing that if the dynamics is complicated then every complex number of modulus different from 0, 1 is an eigenvalue. This stands in contrast with a classical inequality of Manning that bounds the entropy of f below by the spectral radius of f∗.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/journal articleopen accessČech homologyEigenvaluesAdding machinesEntropyTopología1210.13 Dinámica Topológica