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On Local Aspects of Entropy

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Book cover Dynamical Systems in Theoretical Perspective (DSTA 2017)

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Abstract

Although the notion of an entropy has a global character, in many cases the value of an entropy depends on the behaviour of a function near some point. For that reason, in many papers various versions of a notion of “entropy point” are considered. We will examine properties and relations between full entropy points and focal entropy points. Moreover, we will introduce the notion of a \({\mathrm{full}}^*\) entropy point and unbalanced point and examine the possibility of graph approximation of some kind of functions by functions having either \({\mathrm{full}}^*\) entropy point or unbalanced point.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238, Łódź, Poland

    Ryszard J. Pawlak & Ewa Korczak-Kubiak

Authors
  1. Ryszard J. Pawlak
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  2. Ewa Korczak-Kubiak
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Correspondence to Ryszard J. Pawlak .

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Editors and Affiliations

  1. Department of Automation, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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Pawlak, R.J., Korczak-Kubiak, E. (2018). On Local Aspects of Entropy. In: Awrejcewicz, J. (eds) Dynamical Systems in Theoretical Perspective. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-96598-7_22

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