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math.PR2023
Geometric embedding for regularity structures
Yvain Bruned, Foivos Katsetsiadis
In this paper, we show how one can view certain models in regularity structures as some form of geometric rough paths. This is performed by identifying the deformed Butcher-Connes-…
math.PR2022
Post-Lie algebras in Regularity Structures
Yvain Bruned, Foivos Katsetsiadis
In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra. We show…
math.PR2021
Ramification of Volterra-type Rough Paths
Yvain Bruned, Foivos Katsetsiadis
We extend the new approach introduced in arXiv:1912.02064v2 [math.PR] and arXiv:2102.10119v1 [math.PR] for dealing with stochastic Volterra equations using the ideas of Rough Path…