14 citations · 58 across the 23 of their papers we have counts for
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Double shuffle relations for arborified zeta values
Pierre J. Clavier
Arborified zeta values are defined as iterated series and integrals using the universal properties of rooted trees. This approach allows to study their convergence domain and to re…
Locality and renormalisation: universal properties and integrals on trees
Pierre Clavier, Li Guo, Sylvie Paycha +1
The purpose of this paper is to build an algebraic framework suited to regularise branched structures emanating from rooted forests and which encodes the locality principle. This i…
Renormalisation via locality morphisms
Pierre Clavier, Li Guo, Sylvie Paycha +1
This is a survey on renormalisation in the locality setup highlighting the role that locality morphisms can play for renormalisation purposes. Having set up a general framework to…
Renormalisation and locality: branched zeta values
Pierre Clavier, Li Guo, Sylvie Paycha +1
Multivariate renormalisation techniques are implemented in order to build, study and then renormalise at the poles, branched zeta functions associated with trees. For this purpose,…
Analyticity domain of a Quantum Field Theory and Accelero-summation
Marc P. Bellon, Pierre J. Clavier
From 't Hooft's argument, one expects that the analyticity domain of an asymptotically free quantum field theory is horned shaped. In the usual Borel summation, the function is obt…