Dynamics of coin tossing is predictable Export

@article{citeulike:3511495, abstract = {The dynamics of the tossed coin can be described by deterministic equations of motion, but on the other hand it is commonly taken for granted that the toss of a coin is random. A realistic mechanical model of coin tossing is constructed to examine whether the initial states leading to heads or tails are distributed uniformly in phase space. We give arguments supporting the statement that the outcome of the coin tossing is fully determined by the initial conditions, i.e.\&\#xa0;no dynamical uncertainties due to the exponential divergence of initial conditions or fractal basin boundaries occur. We point out that although heads and tails boundaries in the initial condition space are smooth, the distance of a typical initial condition from a basin boundary is so small that practically any uncertainty in initial conditions can lead to the uncertainty of the results of tossing.}, author = {Strzalko, J. and Grabski, J. and Stefanski, A. and Perlikowski, P. and Kapitaniak, T.}, citeulike-article-id = {3511495}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.physrep.2008.08.003}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0370157308003098}, doi = {10.1016/j.physrep.2008.08.003}, issn = {03701573}, journal = {Physics Reports}, keywords = {probability}, month = {December}, number = {2}, pages = {59--92}, posted-at = {2008-11-14 07:46:20}, priority = {2}, title = {Dynamics of coin tossing is predictable}, url = {http://dx.doi.org/10.1016/j.physrep.2008.08.003}, volume = {469}, year = {2008} }

TY - JOUR ID - citeulike:3511495 L3 - citeulike-article-id:3511495 N2 - The dynamics of the tossed coin can be described by deterministic equations of motion, but on the other hand it is commonly taken for granted that the toss of a coin is random. A realistic mechanical model of coin tossing is constructed to examine whether the initial states leading to heads or tails are distributed uniformly in phase space. We give arguments supporting the statement that the outcome of the coin tossing is fully determined by the initial conditions, i.e. no dynamical uncertainties due to the exponential divergence of initial conditions or fractal basin boundaries occur. We point out that although heads and tails boundaries in the initial condition space are smooth, the distance of a typical initial condition from a basin boundary is so small that practically any uncertainty in initial conditions can lead to the uncertainty of the results of tossing. IS - 2 JF - Physics Reports SN - 03701573 EP - 92 TI - Dynamics of coin tossing is predictable VL - 469 SP - 59 KW - probability AU - Strzalko, J AU - Grabski, J AU - Stefanski, A AU - Perlikowski, P AU - Kapitaniak, T PY - 2008/12// UR - http://dx.doi.org/10.1016/j.physrep.2008.08.003 ER -