Strzalko J., Grabski J., Perlikowski P., Stefanski A., Kapitaniak T. Dynamics of Gambling. Origins of Randomness in Mechanical System

Springer-Verlag Berlin Heidelberg, 2009. — 152 p. — (Lecture Notes in Physics 792). — ISBN: 978-3-642-03960-7 (eBook), 978-3-642-26194-7 (Softcover), 978-3-642-03959-1 (Hardcover).This monograph presents a concise discussion of thedynamics of mechanical randomizers (coin tossing, die throw and roulette). The authors derivethe equations of motion, also describing collisions and body contacts.It is shown and emphasized that, from the dynamical point of view, outcomesare 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 learnwhy mechanical randomizers can approximate random processes and benefit from a discussion ofthe nature of randomness in mechanical systems. In summary, the book not only providesa generalanalysis of random effects in mechanical (engineering) systems, butaddresses deep questions concerning the nature of randomness, and gives potentially useful tips for gamblers and the gaming industry.General Motion of a Rigid Body.
Equations of the Randomizer’s Dynamics.
Dynamics and Predictability.
Nature of Randomness in Mechanical Systems.