169450 20260227133540.0 doi 10.1007/978-3-031-95908-0_21 sideral 148350 ART-2025-148350 eng Mayordomo, Elvira Universidad de Zaragoza (orcid)0000-0002-9109-5337 A Point to Set Principle for Finite-State Dimension 2025 Effective dimension has proven very useful in geometric measure theory through the point-to-set principle [9] that characterizes Hausdorff dimension by relativized effective dimension. Finite-state dimension is the least demanding effectivization in this context [3] that among other results can be used to characterize Borel normality [2]. In this paper we prove a characterization of finite-state dimension in terms of information content of a real number at a certain precision. We then use this characterization to give a robust concept of relativized normality and prove a finite-state dimension point-to-set principle. We finish with an open question on the equidistribution properties of relativized normality. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/T64-20R info:eu-repo/grantAgreement/ES/MICINN/PID2019-104358RB-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ info:eu-repo/semantics/conferenceObject info:eu-repo/semantics/acceptedVersion 5007 570 Universidad de Zaragoza Dpto. Informát.Ingenie.Sistms. Área Lenguajes y Sistemas Inf. 15764 (2025), 299-304 Lect. notes comput. sci. Lecture Notes in Computer Science 0302-9743 272511 http://zaguan.unizar.es/record/169450/files/texto_completo.pdf Postprint 1019515 http://zaguan.unizar.es/record/169450/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:169450 articulos driver 2026-02-27-12:35:55 ARTICLE