21 citations · 96 across the 15 of their papers we have counts for
Showing 2022 · math.PRShow all
2 papers · 2 filters
math.PR2022★ 1 cited
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia +1
We study a particular group law on formal power series in non-commuting variables induced by their interpretation as linear forms on a suitable graded connected word Hopf algebra.…
math.PR2022★ 2 cited
The geometry of controlled rough paths
Mazyar Ghani Varzaneh, Sebastian Riedel, Alexander Schmeding +1
We prove that the spaces of controlled (branched) rough paths of arbitrary order form a continuous field of Banach spaces. This structure has many similarities to an (infinite-dime…