8 citations · 26 across the 11 of their papers we have counts for
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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…
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…
Quantization of classical spectral curves via topological recursion
Bertrand Eynard, Elba Garcia-Failde, Olivier Marchal +1
We prove that the topological recursion formalism can be used to quantize any generic classical spectral curve with smooth ramification points and simply ramified away from poles.…
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.…
A curious identity that implies Faber's conjecture
Elba Garcia-Failde, Don Zagier
We prove that a curious generating series identity implies Faber's intersection number conjecture (by showing that it implies a combinatorial identity already given in arXiv:1902.0…