CENTRAL LIMIT THEOREM FOR DIMENSION OF MEASURE IN CIRCLE

CENTRAL LIMIT THEOREM FOR DIMENSION OF MEASURE IN CIRCLE

Authors

  • Giovane Ferreira Silva UFMA
  • Osvaldo Mesquita Neto

DOI:

https://doi.org/10.34179/revisem.v11i1.23312

Abstract

We prove a version of the Central Limit Theorem for the dimension of the equilibrium state of expanding endomorphisms defined in S1. The results here can be extended to conformal expanding maps defined on n-dimensional differentiable manifolds.

Keywords: Dimension of measure, Central Limit Theorem, Expanding maps, Equilibrium states, Gibbs measure.

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Published

2026-04-06

How to Cite

Ferreira Silva, G., & Mesquita Neto, O. (2026). CENTRAL LIMIT THEOREM FOR DIMENSION OF MEASURE IN CIRCLE. Revista Sergipana De Matemática E Educação Matemática, 11(1), 181–191. https://doi.org/10.34179/revisem.v11i1.23312

Issue

Vol. 11 No. 1 (2026): Revista Sergipana de Matemática e Educação Matemática

Section

Mathematics

License

Copyright (c) 2026 Giovane Ferreira Silva, Osvaldo Mesquita Neto

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License

All articles published in this journal are licensed under the Creative Commons Attribution 4.0 International (CC-BY 4.0) license. This means that anyone can copy, distribute, remix, adapt, and use the articles for any purpose, including commercial use, as long as proper attribution is provided to the authors and the journal. For more information about this license, visit: https://creativecommons.org/licenses/by/4.0/