66 citations · 1.3k across the 97 of their papers we have counts for
97 papers
Algebraic structures in set-theoretic Yang-Baxter & reflection equations
Anastasia Doikou
We present resent results regarding invertible, non-degenerate solutions of the set-theoretic Yang-Baxter and reflection equations. We recall the notion of braces and we present an…
Near braces and p-deformed braided groups
Anastasia Doikou, Bernard Rybolowicz
Motivated by recent findings on the derivation of parametric non-involutive solutions of the Yang-Baxter equation we reconstruct the underlying algebraic structures, called near br…
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…