K. Ebrahimi-fard, S. J. Malham, F. Patras, and A. Wiese, Flows and stochastic Taylor series in It?? calculus, Journal of Physics A: Mathematical and Theoretical, vol.48, issue.49, p.495202, 2015.
DOI : 10.1088/1751-8113/48/49/495202

K. Ebrahimi-fard, S. J. Malham, F. Patras, and A. Wiese, The exponential Lie series for continuous semimartingales, Proc. R. Soc. A, p.20150429, 2015.
DOI : 10.1098/rspa.2009.0203

URL : https://hal.archives-ouvertes.fr/hal-01287021

F. Fauvet, L. Foissy, and D. Manchon, The Hopf algebra of finite topologies and mould composition, arXiv preprint arXiv:1503.03820 (2015). 6. , Operads of finite posets, arXiv preprint, 2016.

L. Foissy and . Bidendriform-bialgebras, Algebraic structures on double and plane posets Plane posets, special posets, and permutations, Deformation of the Hopf algebra of plane posets, pp.439-459, 2007.
DOI : 10.1007/s10801-012-0358-0

URL : http://arxiv.org/abs/1101.5231

L. Foissy and C. Malvenuto, The Hopf algebra of finite topologies and T-partitions, Journal of Algebra, vol.438, pp.130-169, 2015.
DOI : 10.1016/j.jalgebra.2015.04.024

URL : https://hal.archives-ouvertes.fr/hal-01017229

L. Foissy, C. Malvenuto, and F. Patras, Infinitesimal and B???-algebras, finite spaces, and quasi-symmetric functions, Journal of Pure and Applied Algebra, vol.220, issue.6, pp.2434-2458, 2016.
DOI : 10.1016/j.jpaa.2015.11.014

URL : https://hal.archives-ouvertes.fr/hal-00967351

L. Foissy and P. , Lie theory for quasi-shuffle bialgebras
URL : https://hal.archives-ouvertes.fr/hal-01311265

L. Foissy, F. Patras, and J. Thibon, D??formations des alg??bres de battages et quasi-battages, Annales de l???institut Fourier, vol.66, issue.1, pp.209-237, 2016.
DOI : 10.5802/aif.3010

C. Malvenuto and C. Reutenauer, Duality between quasi-symmetrical functions and the Solomon descent algebra A self paired Hopf algebra on double posets and a Littlewood-Richardson rule, Journal of Algebra J. Combin. Theory Ser. A, vol.177, issue.118 4, pp.967-982, 1995.

J. Novelli, F. Patras, and J. Thibon, Natural endomorphisms of quasi-shuffle Hopf algebras, Bulletin de la Société mathématique de France, vol.141, issue.1, pp.107-130, 2013.
DOI : 10.24033/bsmf.2644

URL : https://hal.archives-ouvertes.fr/hal-00823090

J. Novelli and J. Thibon, Polynomial realizations of some trialgebras, Proceedings of Formal Power Series and Algebraic Combinatorics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00622743

F. Patras and M. Schocker, Twisted descent algebras and the Solomon???Tits algebra, Advances in Mathematics, vol.199, issue.1, pp.151-184, 2006.
DOI : 10.1016/j.aim.2005.01.010

URL : https://hal.archives-ouvertes.fr/hal-00128596

A. V. Zelevinsky, A generalization of the Littlewood-Richardson rule and the Robinson-Schensted-Knuth correspondence, Journal of Algebra, vol.69, issue.1, pp.82-94, 1981.
DOI : 10.1016/0021-8693(81)90128-9

L. Liouville, rue Ferdinand Buisson, CS 80699, 62228 Calais Cedex, France, email foissy@lmpa.univ-littoral, pp.6108-6110