201 citations · 2.4k across the 113 of their papers we have counts for
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Relations between infinitesimal non-commutative cumulants
Adrian Celestino, Kurusch Ebrahimi-Fard, Daniel Perales
Boolean, free and monotone cumulants as well as relations among them, have proven to be important in the study of non-commutative probability theory. Quite notably, Boolean cumulan…
From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras
Kurusch Ebrahimi-Fard, Frederic Patras
Gian-Carlo Rota mentioned in one of his last articles the problem of developing a theory around the notion of integration algebras, which should be dual to the one of differential…
Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations
Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock +1
We establish and explore a relationship between two approaches to moment-cumulant relations in free probability theory: on one side the main approach, due to Speicher, given in ter…
Time-warping invariants of multidimensional time series
Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia
In data science, one is often confronted with a time series representing measurements of some quantity of interest. Usually, as a first step, features of the time series need to be…