2005/09/23 by Jacky Cresson, Cresson, Jacky · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.CO #math.DS #msc:17A50 #msc:17B40 #msc:17B62 #msc:17B70 #msc:37C05 #msc:37C10 #msc:37G05
paper · pdf · doi:10.48550/arxiv.math/0509548
91 pages
arxiv created 2005/09/23 · arxiv updated 2009/12/01
This paper is an introduction to mould calculus as introduced by Jean Ecalle. We give a precise definition of moulds and describe there main properties. We translate mould symmetries (alterna(e)l and symetra(e)l) using non commutative formal power series in two given bialgebras. We apply this formalism to the problem of normal forms for vector fields and diffeomrophisms.