14 citations · 17 across the 2 of their papers we have counts for
2 papers
math.CO2021★ 3 cited
Growth of structure constants of free Lie algebras relative to Hall bases
Karine Beauchard, Jérémy Le Borgne, Frédéric Marbach
We derive a priori bounds on the size of the structure constants of the free Lie algebra over a set of indeterminates, relative to its Hall bases. We investigate their asymptotic g…
math.CA2020★ 14 cited
On expansions for nonlinear systems, error estimates and convergence issues
Karine Beauchard, Jérémy Le Borgne, Frédéric Marbach
Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator…