Publication:
Asymptotic expansivity

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dc.contributor.author Lee K. es_PE
dc.contributor.author Morales C.A. es_PE
dc.contributor.author Villavicencio H. es_PE
dc.date.accessioned 2024-05-30T23:13:38Z
dc.date.available 2024-05-30T23:13:38Z
dc.date.issued 2022
dc.description KL was partially supported by NRF grant No. 2018R1A2B3001457 . CAM was partially supported by CNPq -Brazil No. 307776/2019-0 and the NRF Brain Pool Grant No. 2020H1D3A2A01085417 . HV was partially supported by Universidad Nacional de Ingeniería P-CC-2021-000666 , FC-PF-33-2021 and Fondecyt-Concytec contract 100-2018 .
dc.description.abstract We study continuous maps of metric spaces for which two nearby orbits are asymptotic (termed asymptotically expansive for short). We also analyze the bi-asymptotically expansive homeomorphisms namely asymptotically expansive homeomorphisms with asymptotically expansive inverse. Indeed, we obtain necessary and sufficient conditions for asymptotic expansivity, characterize the asymptotically expansive homeomorphisms of the circle, prove a spectral decomposition theorem and estimate the entropy through the growth rate of the periodic orbits. © 2021 Elsevier Inc.
dc.description.sponsorship Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - Concytec
dc.identifier.doi https://doi.org/10.1016/j.jmaa.2021.125729
dc.identifier.scopus 2-s2.0-85116556212
dc.identifier.uri https://hdl.handle.net/20.500.12390/2974
dc.language.iso eng
dc.publisher Academic Press Inc.
dc.relation.ispartof Journal of Mathematical Analysis and Applications
dc.rights info:eu-repo/semantics/openAccess
dc.subject Topological entropy
dc.subject Asymptotically expansive es_PE
dc.subject Expansive map es_PE
dc.subject.ocde https://purl.org/pe-repo/ocde/ford#1.01.01
dc.title Asymptotic expansivity
dc.type info:eu-repo/semantics/article
dspace.entity.type Publication
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