66 citations · 1.3k across the 97 of their papers we have counts for
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Quantum Groups, Discrete Magnus Expansion, Pre-Lie and Tridendriform Algebras
Anastasia Doikou
We review the discrete evolution problem and the corresponding solution as a discrete Dyson series in order to rigorously derive a generalized discrete version of the Magnus expans…
Novel non-involutive solutions of the Yang-Baxter equation from (skew) braces
Anastasia Doikou, Bernard Rybolowicz
We produce novel non-involutive solutions of the Yang-Baxter equation coming from (skew) braces. These solutions are generalisations of the known ones coming from braces and skew b…
Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation
Anastasia Doikou, Alexandros Ghionis, Bart Vlaar
We examine classes of quantum algebras emerging from involutive, non-degenerate set-theoretic solutions of the Yang-Baxter equation and their q-analogues. After providing some univ…
Applications of Grassmannian flows to coagulation systems
Anastasia Doikou, Simon J. A. Malham, Ioannis Stylianidis +1
We demonstrate how many classes of Smoluchowski-type coagulation models can be realised as multiplicative Grassmannian flows and are therefore linearisable, and thus integrable in…