On the Notion of Entropy of a Dynamical System

By Y. Sinai. 2010

314 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/46c1483f5cf3006068f8710ce5ffa9708b38fe12

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Alfonso Delgado-Bonal
2. Alexander Marshak

In Statistical and Nonlinear Physics

1. M. Kontsevich
2. Alfonso Delgado-Bonal
3. Alexander Marshak
4. L. Katzarkov
5. P. Seidel

Citations in the corpus

• Approximate Entropy and Sample Entropy: A Comprehensive Tutorial (2019, background): “In order to do that, Sinai [15] introduced the concept of entropy for dynamic systems that preserve the measurements, giving a generalization of Shannon entropy for dynamic systems, known as Kolmogorov–Sinai entropy (KS) nowadays .”
• Dynamical systems and categories (2013, background): “-categories, more specically dynamical entropy, as a measure of complexity of a dynamical system. This notion comes in a variety of avors: Let us mention Kolmogorov-Sinai (measure-theoretic) entropy [48], topological entropy [2], and algebraic entropy [6]. In analogy with these notions, we dene in S”
• Between order and chaos (2011, unknown): “To apply information theory to general stationary processes, one uses Kolmogorov’s extension of the source entropy rate 12,13 .”