Department of Mathematics, University of Qom, Qom, Iran
10.22091/maa.2026.15826.1058
Abstract
In this paper, we consider random dynamical systems as a family of continuous maps on a compact metric space, parameterized by a measure space via a noise map. We define a new type of induced entropy for such families, called induced average entropy and will establish the connection between this new quantity and the induced upper capacity topological entropy of its skew product and the topological entropy of the noise map. This relation resembles the Abramov-Rokhlin theorem in the topological setting.
Rahimi, M., & Bidabadi, N. (2026). On induced average entropy of random dynamical systems. Measure Algebras and Applications, (), -. doi: 10.22091/maa.2026.15826.1058
MLA
Mehdi Rahimi; Nahid Bidabadi. "On induced average entropy of random dynamical systems". Measure Algebras and Applications, , , 2026, -. doi: 10.22091/maa.2026.15826.1058
HARVARD
Rahimi, M., Bidabadi, N. (2026). 'On induced average entropy of random dynamical systems', Measure Algebras and Applications, (), pp. -. doi: 10.22091/maa.2026.15826.1058
VANCOUVER
Rahimi, M., Bidabadi, N. On induced average entropy of random dynamical systems. Measure Algebras and Applications, 2026; (): -. doi: 10.22091/maa.2026.15826.1058
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