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Dynamics of Gambling: Origins of Randomness in Mechanical Systems

  • Jaroslaw Strzalko
  • Juliusz Grabski
  • Przemyslaw Perlikowski
  • Andrzej Stefanski
  • Tomasz Kapitaniak

Part of the Lecture Notes in Physics book series (LNP, volume 792)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Jarosław Strzałko, Juliusz Grabski, Przemysław Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
    Pages 1-22
  3. Jarosław Strzałko, Juliusz Grabski, Przemysław Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
    Pages 23-39
  4. Jarosław Strzałko, Juliusz Grabski, Przemysław Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
    Pages 41-95
  5. Jarosław Strzałko, Juliusz Grabski, Przemysław Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
    Pages 97-142
  6. Jarosław Strzałko, Juliusz Grabski, Przemysław Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
    Pages 143-150
  7. Back Matter
    Pages 1-2

About this book

Introduction

This monograph presents a concise discussion of the dynamics of mechanical randomizers (coin tossing, die throw and roulette). The authors derive the equations of motion, also describing collisions and body contacts.  It is shown and emphasized that, from the dynamical point of view, outcomes are predictable, i.e. if an experienced player can reproduce initial conditions with a small finite uncertainty, there is a good chance that the desired final state will be obtained. Finally, readers learn why mechanical randomizers can approximate random processes and benefit from a discussion of the nature of randomness in mechanical systems. In summary, the book not only provides a general analysis of random effects in mechanical (engineering) systems, but addresses deep questions concerning the nature of randomness, and gives potentially useful tips for gamblers and the gaming industry.

Keywords

Dynamical systems Mechanical randomizers Predictability Probability Pseudorandom numbers simulation

Authors and affiliations

  • Jaroslaw Strzalko
    • 1
  • Juliusz Grabski
    • 2
  • Przemyslaw Perlikowski
    • 3
  • Andrzej Stefanski
    • 4
  • Tomasz Kapitaniak
    • 5
  1. 1.Division of DynamicsTechnical University of Lódz LodzPoland
  2. 2.Division of DynamicsTechnical University of Lódz LodzPoland
  3. 3.Division of DynamicsTechnical University of Lódz LodzPoland
  4. 4.Division of DynamicsTechnical University of Lódz LodzPoland
  5. 5.Division of DynamicsTechnical University of Lódz LodzPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-03960-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-03959-1
  • Online ISBN 978-3-642-03960-7
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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