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A note on entropy of finitely ergodic compact topological dynamical systems | ||
Journal of Finsler Geometry and its Applications | ||
دوره 2، شماره 1، مهر 2021، صفحه 142-150 اصل مقاله (88.26 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1271 | ||
نویسندگان | ||
Mehdi Rahimi* 1؛ Amir Assari2 | ||
1Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran. E-mail: m10.rahimi@gmail.com | ||
2Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran. E-mail: amirassari@jsu.ac.ir | ||
چکیده | ||
In this paper, using a map on the product space, we define a linear functional on a Hilbert space and we extract the metric entropy of a system as the operator norm of the linear functional. This follows an approach which considers the entropy of a dynamical system as a linear operator. | ||
کلیدواژهها | ||
Dynamical system؛ entropy؛ Riemannian metric | ||
آمار تعداد مشاهده مقاله: 148 تعداد دریافت فایل اصل مقاله: 128 |