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math.FA2023
A Fréchet Lie group on distributions
Manon Ryckebusch, Abderrahman Bouhamidi, Pierre-Louis Giscard
Solving non-autonomous systems of ordinary differential equations leads to consider a new product of bivariate distributions called the ~product in the literature. This prod…
math.CO2023
A co-preLie structure from chronological loop erasure in graph walks
Loïc Foissy, Pierre-Louis Giscard, Cécile Mammez
We show that the chronological removal of cycles from a walk on a graph, known as Lawler's loop-erasing procedure, generates a preLie co-algebra on the vector space spanned by the…