Quantum field theory and Hopf algebra cohomology, J. Phys. A, vol.37, issue.22, pp.5895-5927, 2004. ,
DOI : 10.1088/0305-4470/37/22/014
URL : https://hal.archives-ouvertes.fr/hal-00019194
One-particle irreducibility with initial correlations, Combinatorics and Physics, vol.539, pp.1-25, 2011. ,
DOI : 10.1090/conm/539/10625
URL : https://hal.archives-ouvertes.fr/hal-00267184
Algebraic renormalisation of regularity structures, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01389938
Two interacting hopf algebras of trees: a hopf-algebraic approach to composition and substitution of b-series, Adv. in Appl. Math, vol.47, issue.2, pp.282-308, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00288313
A primer of Hopf algebras, Frontiers in Number Theory, Physics, and Geometry, vol.2, pp.537-615, 2007. ,
DOI : 10.1007/978-3-540-30308-4_12
An analytic BPHZ theorem for regularity structures, 2016. ,
Controlling rough paths, Journal of Functional Analysis, vol.216, issue.1, pp.86-140, 2004. ,
DOI : 10.1016/j.jfa.2004.01.002
URL : https://doi.org/10.1016/j.jfa.2004.01.002
Ramification of rough paths, Journal of Differential Equations, vol.248, issue.4, pp.693-721, 2010. ,
DOI : 10.1016/j.jde.2009.11.015
URL : https://hal.archives-ouvertes.fr/hal-00143655
A central limit theorem for the KPZ equation, Ann. Probab, vol.45, issue.6B, pp.4167-4221, 2017. ,
DOI : 10.1214/16-aop1162
URL : http://arxiv.org/pdf/1507.01237
A theory of regularity structures, Invent. Math, vol.198, issue.2, pp.269-504, 2014. ,
DOI : 10.1007/s00222-014-0505-4
URL : http://arxiv.org/pdf/1303.5113
Coalgebras and bialgebras in combinatorics, Stud. Appl. Math, vol.61, issue.2, pp.93-139, 1979. ,
On a method of semi-invariants, Theor. Probability Appl, vol.4, pp.319-329, 1959. ,
Wick polynomials and time-evolution of cumulants, J. Math. Phys, vol.57, issue.8, p.27, 2016. ,
Differential equations driven by rough signals, Rev. Mat. Iberoamericana, vol.14, issue.2, pp.215-310, 1998. ,
Differential equations driven by rough paths, Lectures from the 34th Summer School on Probability Theory, vol.1908, 2004. ,
Wiener chaos: moments, cumulants and diagrams, Bocconi & Springer Series, vol.1, 2011. ,
Combinatorial identities. Robert E, 1979. ,
On the combinatorics of cumulants, memory of Gian-Carlo Rota, vol.91, pp.283-304, 2000. ,
Stochastic integrals: a combinatorial approach, Ann. Probab, vol.25, issue.3, pp.1257-1283, 1997. ,
Cumulants and partition lattices, Austral. J. Statist, vol.25, issue.2, pp.378-388, 1983. ,
Email address: kurusch.ebrahimi-fard@ntnu, Mathematical Sciences, p.7491 ,
Parc Valrose, 06108 Nice Cedex 02, France. Email address: patras@unice.fr URL: www-math.unice.fr/?patras Departamento de Ingeniería Matemática, Email address: ntapia@dim.uchile.cl URL ,
Sorbonne Université, Statistique et Modélisation (UMR 8001) ,