23 citations · 56 across the 11 of their papers we have counts for
4 papers · 1 filter
Functional relations for higher-order free cumulants
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde +2
We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen y…
Around the combinatorial unit ball of measured foliations on bordered surfaces
Gaëtan Borot, Séverin Charbonnier, Vincent Delecroix +2
The volume of the unit ball -- with respect to the combinatorial length function -- of the space of measured foliations o…
Topological recursion for fully simple maps from ciliated maps
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde
Ordinary maps satisfy topological recursion for a certain spectral curve . We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps wi…
Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers
Raphaël Belliard, Séverin Charbonnier, Bertrand Eynard +1
Kontsevich introduced certain ribbon graphs as cell decompositions for combinatorial models of moduli spaces of complex curves with boundaries in his proof of Witten's conjecture.…