RT Journal Article
T1 Dynamics and eigenvalues in dimension zero
A1 Hernández Corbato, Luis
A1 Nieves Rivera, David Jesús
A1 Romero Ruiz Del Portal, Francisco
A1 Sánchez Gabites, Jaime Jorge
AB Let 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∗.
PB Cambridge University Press
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/133322
UL https://hdl.handle.net/20.500.14352/133322
LA eng
NO Hernández-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.
NO Ministerio de Economía y Competitividad
DS Docta Complutense
RD 21 mar 2026