&. P. Aldous and . Diaconis, Shuffling Cards and Stopping Times, The American Mathematical Monthly, vol.93, issue.5, pp.333-348, 1986.
DOI : 10.2307/2323590

D. Bayer and &. P. Diaconis, Trailing the Dovetail Shuffle to its Lair, The Annals of Applied Probability, vol.2, issue.2, pp.29-313, 1992.
DOI : 10.1214/aoap/1177005705

M. D. Crossley, Some Hopf algebras of words, Glasgow Math, J, vol.48, pp.575-582, 2006.

P. Diaconis, MATHEMATICAL DEVELOPMENTS FROM THE ANALYSIS OP RIFFLE SHUFFLING, 2002.
DOI : 10.1142/9789812564481_0005

P. Diaconis, R. L. Graham, and &. W. Kantor, The mathematics of perfect shuffles, Advances in Applied Mathematics, vol.4, issue.2, pp.175-196, 1983.
DOI : 10.1016/0196-8858(83)90009-X

R. Ehrenborg, On Posets and Hopf Algebras, Advances in Mathematics, vol.119, issue.1, pp.1-25, 1996.
DOI : 10.1006/aima.1996.0026

J. Ellis, T. Krahn, and &. H. Fan, Computing the cycles in the perfect shuffle permutation, Information Processing Letters, vol.75, issue.5, pp.217-224, 2000.
DOI : 10.1016/S0020-0190(00)00103-4

R. A. Fisher and &. F. Yates, Statistical tables for biological, agricultural and medical research, pp.26-27, 1948.

C. Greene, Posets of shuffles, Journal of Combinatorial Theory, Series A, vol.47, issue.2, pp.191-206, 1988.
DOI : 10.1016/0097-3165(88)90018-0

L. Guo and &. B. Xie, Explicit double shuffle relations and a generalization of Euler's decomposition formula, 2008.

P. Hersh, Two Generalizations of Posets of Shuffles, Journal of Combinatorial Theory, Series A, vol.97, issue.1, pp.1-26, 2002.
DOI : 10.1006/jcta.2001.3187

K. Ihara, M. Kaneko, and &. D. Zagier, Derivation and double shuffle relations for multiple zeta values, Compositio Mathematica, vol.142, issue.02, pp.307-338, 2006.
DOI : 10.1112/S0010437X0500182X

D. E. Knuth, The Art of, Computer Programming, vol.3, 1973.

D. E. Knuth, The Art of Computer Programming 2, 1998.

&. K. Mevedoff and . Morrison, Groups of Perfect Shuffles, Mathematics Magazine, vol.60, issue.1, pp.3-14, 1987.
DOI : 10.2307/2690131

C. Reutenauer, Free lie algebras, 1993.
DOI : 10.1016/S1570-7954(03)80075-X

R. Simion and &. R. Stanley, Flag-symmetry of the poset of shuffles and a local action of the symmetric group, Discrete Math, pp.369-396, 1999.

R. P. Stanley, Enumerative Combinatorics 1, 1997.

L. N. Trefethen and &. L. Trefethen, How many shuffles to randomize a deck of cards?, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.456, issue.2002, pp.2451-2568, 2002.
DOI : 10.1098/rspa.2000.0625

A. Van-zuylen and &. F. Schalekamp, THE ACHILLES' HEEL OF THE GSR SHUFFLE: A NOTE ON NEW AGE SOLITAIRE, Probability in the Engineering and Informational Sciences, vol.18, issue.03, pp.315-328, 2004.
DOI : 10.1215/S0012-7094-73-04065-9