Dynamics and eigenvalues in dimension zero

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dc.contributor.authorHernández Corbato, Luis
dc.contributor.authorNieves Rivera, David Jesús
dc.contributor.authorRomero Ruiz Del Portal, Francisco
dc.contributor.authorSánchez Gabites, Jaime Jorge
dc.date.accessioned2026-02-26T09:46:14Z
dc.date.available2026-02-26T09:46:14Z
dc.date.issued2020
dc.description.abstractLet 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∗.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad
dc.description.statuspub
dc.identifier.citationHernández-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.
dc.identifier.doi10.1017/etds.2018.139
dc.identifier.urihttps://hdl.handle.net/20.500.14352/133322
dc.journal.titleErgodic Theory and Dynamical Systems
dc.language.isoeng
dc.page.final2452
dc.page.initial2434
dc.publisherCambridge University Press
dc.relation.projectIDMTM2015-63612-P
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.keywordČech homology
dc.subject.keywordEigenvalues
dc.subject.keywordAdding machines
dc.subject.keywordEntropy
dc.subject.ucmTopología
dc.subject.unesco1210.13 Dinámica Topológica
dc.titleDynamics and eigenvalues in dimension zero
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number40
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery87098c4b-1e25-4b37-b466-43febdc67ddf

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