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math.PR2018★ 9 cited
A group-theoretical approach to conditionally free cumulants
Kurusch Ebrahimi-Fard, Frederic Patras
In this work we extend the recently introduced group-theoretical approach to moment-cumulant relations in non-commutative probability theory to the notion of conditionally free cum…
math.PR2018★ 12 cited
Quasi-shuffle algebras and renormalisation of rough differential equations
Yvain Bruned, Charles Curry, Kurusch Ebrahimi-Fard
The objective of this work is to compare several approaches to the process of renormalisation in the context of rough differential equations using the substitution bialgebra on roo…