Understanding Coin-Tossing

[1]  Persi Diaconis,et al.  c ○ 2007 Society for Industrial and Applied Mathematics Dynamical Bias in the Coin Toss ∗ , 2022 .

[2]  Joseph Ford,et al.  How random is a coin toss , 1983 .

[3]  C. L. Hamblin You and I , 1972 .

[4]  Joseph,et al.  Dark and bright vector spatial solitons in biased photorefractive media. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  E. Hopf On Causality, Statistics and Probability , 1934 .

[6]  Kapitaniak Uncertainty in coupled chaotic systems: Locally intermingled basins of attraction. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Tomasz Kapitaniak,et al.  Bifurcations from locally to globally riddled basins , 1998 .

[8]  J. Keller The Probability of Heads , 1986 .

[9]  J. Marsden,et al.  Introduction to mechanics and symmetry , 1994 .

[10]  J. Brickmann B. Mandelbrot: The Fractal Geometry of Nature, Freeman and Co., San Francisco 1982. 460 Seiten, Preis: £ 22,75. , 1985 .

[11]  D. Frail,et al.  Identification of PSR1758 – 23 as a runaway pulsar from the supernova remnant W28 , 1993, Nature.

[12]  Murray,et al.  Probability of a tossed coin landing on edge. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  J. E. Kerrich An Experimental Introduction to the Theory of probability , 1946, Nature.

[14]  E. Jaynes Probability theory : the logic of science , 2003 .

[15]  Vulovic,et al.  Randomness of a true coin toss. , 1986, Physical review. A, General physics.

[16]  I. Neĭmark,et al.  Dynamics of Nonholonomic Systems , 1972 .

[17]  J. Yorke,et al.  Final state sensitivity: An obstruction to predictability , 1983 .

[18]  Tsuyoshi Mizuguchi,et al.  Dynamics of Coin Tossing , 2006 .

[19]  A Patrick,et al.  Calcul de probabilités , 2011 .

[20]  Application of the Theory of Orlicz Spaces to Statistical Mechanics. I. Integral Equations , 1972 .

[21]  J. W. Humberston Classical mechanics , 1980, Nature.

[22]  J. Yorke,et al.  The transition to chaotic attractors with riddled basins , 1994 .

[23]  杨骁,et al.  On the sensitive dynamical system and the transition from the apparently deterministic process to the completely random process , 1985 .

[24]  T. Tél,et al.  On the organisation of transient chaos―application to irregular scattering , 1989 .

[25]  Kapitaniak Generating strange nonchaotic trajectories. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  T. Kapitaniak,et al.  Dynamics of coin tossing is predictable , 2008 .

[27]  T. Kapitaniak Distribution of Transient Lyapunov Exponents of Quasiperiodically Forced Systems , 1995 .

[28]  Edward Ott,et al.  A physical system with qualitatively uncertain dynamics , 1993, Nature.