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math.CO2021★ 1 cited
Translations of rough paths in combinatorial Hopf algebras
Ludwig Rahm
We generalize Bruned et.al.'s notion of translation in geometric and branched rough paths to a notion of translation in rough paths over any combinatorial Hopf algebra. We show tha…
math.CO2021
An operadic approach to substitution in Lie-Butcher series
Ludwig Rahm
The paper follows an operadic approach to provide a bialgebraic description of substitution for Lie-Butcher series. We first show how the well-known bialgebraic description for sub…