Open Access
Research Article
ON APPROXIMATION OF RELATIVE ENTROPIES
*ALEJANDRO MESÓNCorresponding authorMESON@IFLYSIB.UNLP.EDU.ARINSTITUTO DE FÍSICA DE LÍQUIDOS Y SISTEMAS BIOLÓGICOS (IFLYSIB) CONICET–UNLP AND GRUPO DE APLICACIONES MATEMÁTICAS Y ESTADÍSTICAS DE LA FACULTAD DE INGENIERÍA (GAMEFI) UNLP, LA PLATA, ARGENTINALa Plata, ArgentinaView full profile → , FERNANDO VERICATVERICAT.FERNANDO@GMAIL.COMINSTITUTO DE FÍSICA DE LÍQUIDOS Y SISTEMAS BIOLÓGICOS (IFLYSIB) CONICET–UNLP AND GRUPO DE APLICACIONES MATEMÁTICAS Y ESTADÍSTICAS DE LA FACULTAD DE INGENIERÍA (GAMEFI) UNLP, LA PLATA, ARGENTINALa Plata, ArgentinaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 02 Feb 2023
- Published Online:
- 01 May 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDSGT-21-1-P02
- Pages:
- 1–14
Abstract
We analyze when symbolic dynamical systems have intermediate relative entropies for two symbolic spaces (X, o1) and (Y, o2). By this is understood to study the denseness of relative measure-theoretic entropies in the interval [0, h(v, o1)], where h(v, o1) is a relative topological entropy of the shift o1 with respect to a o2-invariant measure in Y . We prove that for irreducible shifts with the (strong) specification property as introduced by Bowen, the set of the relative measure-theoretic entropies is dense in the above mentioned sense. To this, we use the decomposition of factor codes of Yoo and a variational principle for relative entropies given by Barral and Feng.
Keywords
Subject Classifications
37A3537B10
References
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