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Entropy - A Guide for the Perplexed

Frigg, Roman and Werndl, Charlotte (2011) Entropy - A Guide for the Perplexed. [Preprint]

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    Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging from logic and statistics to biology and economics. However, a closer look reveals a complicated picture: entropy is defined differently in different contexts, and even within the same domain different notions of entropy are at work. Some of these are defined in terms of probabilities, others are not. The aim of this chapter is to arrive at an understanding of some of the most important notions of entropy and to clarify the relations between them, After setting the stage by introducing the thermodynamic entropy (Section 2), we discuss notions of entropy in information theory (Section 3), statistical mechanics (Section 4), dynamical systems theory (Section 5) and fractal geometry (Section 6).

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    Item Type: Preprint
    Additional Information: In *Probabilities in Physics*, Oxford University Press
    Keywords: entropy, probability, thermodynamics, statistical mechanics, dynamical systems theory, fractal geometry
    Subjects: Specific Sciences > Complex Systems
    Specific Sciences > Mathematics
    Specific Sciences > Physics
    Specific Sciences > Probability/Statistics
    Depositing User: Charlotte Werndl
    Date Deposited: 07 May 2011 10:05
    Last Modified: 07 May 2011 10:05
    Item ID: 8592
    Journal or Publication Title: Probabilities in Physics
    Publisher: Oxford University Press

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