Resumen
In this paper we introduce two measure theoretical notions of conditional entropy for finite measurable covers conditioned to a finite measurable partition and prove that they are equal. Using this we state a local variational principle with respect to the notion of conditional entropy defined by Misiurewicz (1976 Stud. Math. 55 176-200) for the case of open covers. This in particular extends the work done in Romagnoli (2003 Ergod. Theor. Dynam. Syst. 23 1601-10), Glasner and Weiss (2006 Handbook of Dynamical Systems vol 1B (Amsterdam: Elsevier)) and Huang et al (2006 Ergod. Theor. Dynam. Syst. 26 219-45).
Idioma original | Inglés |
---|---|
Páginas (desde-hasta) | 2201-2220 |
Número de páginas | 20 |
Publicación | Nonlinearity |
Volumen | 31 |
N.º | 5 |
DOI | |
Estado | Publicada - 9 abr. 2018 |
Áreas temáticas de ASJC Scopus
- Física estadística y no lineal
- Física matemática
- Física y astronomía (todo)
- Matemáticas aplicadas