190 citations · 1.2k across the 86 of their papers we have counts for
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Rayleigh-Schrödinger series and Birkhoff decomposition
Jean-Christophe Novelli, Thierry Paul, David Sauzin +1
We derive new expressions for the Rayleigh-Schrödinger seriesdescribing the perturbation of eigenvalues of quantumHamiltonians. The method, somehow close to the so-called dimension…
Entanglement of four-qubit systems: a geometric atlas with polynomial compass II (the tame world)
Frédéric Holweck, Jean-Garbriel Luque, Jean-Yves Thibon
We propose a new approach to the geometry of the four-qubit entanglement classes depending on parameters. More precisely, we use invariant theory and algebraic geometry to describe…
Free cumulants, Schröder trees, and operads
Matthieu Josuat-Vergès, Frédéric Menous, Jean-Christophe Novelli +1
The functional equation defining the free cumulants in free probability is lifted successively to the noncommutative Faà di Bruno algebra, and then to the group of a free operad ov…